Mixture word problems worksheet for Algebra 2

The amount of the thing being dissolved does not change when you pour two beakers together. Counting it before and after gives one equation, and that is the whole method.

Also taught in Algebra 1, at its own level and with its own examples.

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Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.



Sigma Prep · sigmaprep.io/worksheets Name Mixture Word Problems Date Period Answer each question. Solve mixture problems You mix 10 milliliters of a 5% alcohol solution with 30 milliliters of a 45% solution. What is the concentration of the result? You mix 5 liters of a 10% salt solution with 15 liters of a 30% solution. What is the concentration of the result? You mix 5 liters of a 25% antifreeze solution with 5 liters of a 55% solution. What is the concentration of the result? You mix 8 liters of a 20% acid solution with 4 liters of a 50% solution. What is the concentration of the result? You mix 6 liters of a 30% acid solution with 4 liters of an 80% solution. What is the concentration of the result? You mix 10 liters of a 25% salt solution with 20 liters of a 55% solution. What is the concentration of the result? You mix 30 liters of a 10% acid solution with 10 liters of a 50% solution. What is the concentration of the result? You mix 2 liters of a 30% antifreeze solution with 8 liters of an 80% solution. What is the concentration of the result? You mix 10 liters of a 5% antifreeze solution with 10 liters of a 25% solution. What is the concentration of the result? You mix 5 milliliters of a 20% alcohol solution with 15 milliliters of a 40% solution. What is the concentration of the result? Solve blend problems by price per pound A 14-pound blend is worth $$ 31.50$ in all. It is made of tea at $$ 1.50$ a pound and tea at $$ 5.00$ a pound. How many pounds of each are in it? To make a mix worth $$ 4.10$ a pound, how many pounds of $$ 5.00$ chocolates should be added to 15 pounds of $$ 3.50$ hard candy? How many pounds of $$ 4.00$ coffee must be mixed with 2 pounds of $$ 8.00$ coffee to make a blend worth $$ 4.50$ a pound? A shop wants 30 pounds of a mixture to sell at $$ 5.00$ a pound. It mixes grass seed at $$ 3.50$ a pound with grass seed at $$ 6.00$ a pound. How many pounds of each does it use? How many pounds of $$ 3.00$ peanuts must be mixed with 8 pounds of $$ 6.00$ cashews to make a mix worth $$ 4.60$ a pound? To make a blend worth $$ 4.50$ a pound, how many pounds of $$ 5.50$ tea should be added to 4 pounds of $$ 4.00$ tea? Coffee at $$ 1.50$ a pound is mixed with coffee at $$ 4.50$ a pound to make 20 pounds of a blend worth $$ 4.20$ a pound. How many pounds of each? A shop wants 24 pounds of a mix to sell at $$ 5.00$ a pound. It mixes hard candy at $$ 4.00$ a pound with chocolates at $$ 8.00$ a pound. How many pounds of each does it use? A shop has 16 pounds of $$ 6.00$ cashews. How many pounds of $$ 1.50$ peanuts should it add to make a mix worth $$ 4.50$ a pound? A 10-pound mixture is worth $$ 45.00$ in all. It is made of grass seed at $$ 3.00$ a pound and grass seed at $$ 8.00$ a pound. How many pounds of each are in it? Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mixture Word Problems

Date Period

Answer each question.

Solve mixture problems
You mix 10 milliliters of a 5% alcohol solution with 30 milliliters of a 45% solution. What is the concentration of the result?
You mix 5 liters of a 10% salt solution with 15 liters of a 30% solution. What is the concentration of the result?
You mix 5 liters of a 25% antifreeze solution with 5 liters of a 55% solution. What is the concentration of the result?
You mix 8 liters of a 20% acid solution with 4 liters of a 50% solution. What is the concentration of the result?
You mix 6 liters of a 30% acid solution with 4 liters of an 80% solution. What is the concentration of the result?
You mix 10 liters of a 25% salt solution with 20 liters of a 55% solution. What is the concentration of the result?
You mix 30 liters of a 10% acid solution with 10 liters of a 50% solution. What is the concentration of the result?
You mix 2 liters of a 30% antifreeze solution with 8 liters of an 80% solution. What is the concentration of the result?
You mix 10 liters of a 5% antifreeze solution with 10 liters of a 25% solution. What is the concentration of the result?
You mix 5 milliliters of a 20% alcohol solution with 15 milliliters of a 40% solution. What is the concentration of the result?

Solve blend problems by price per pound
A 14-pound blend is worth $$ 31.50$ in all. It is made of tea at $$ 1.50$ a pound and tea at $$ 5.00$ a pound. How many pounds of each are in it?
To make a mix worth $$ 4.10$ a pound, how many pounds of $$ 5.00$ chocolates should be added to 15 pounds of $$ 3.50$ hard candy?
How many pounds of $$ 4.00$ coffee must be mixed with 2 pounds of $$ 8.00$ coffee to make a blend worth $$ 4.50$ a pound?
A shop wants 30 pounds of a mixture to sell at $$ 5.00$ a pound. It mixes grass seed at $$ 3.50$ a pound with grass seed at $$ 6.00$ a pound. How many pounds of each does it use?
How many pounds of $$ 3.00$ peanuts must be mixed with 8 pounds of $$ 6.00$ cashews to make a mix worth $$ 4.60$ a pound?
To make a blend worth $$ 4.50$ a pound, how many pounds of $$ 5.50$ tea should be added to 4 pounds of $$ 4.00$ tea?
Coffee at $$ 1.50$ a pound is mixed with coffee at $$ 4.50$ a pound to make 20 pounds of a blend worth $$ 4.20$ a pound. How many pounds of each?
A shop wants 24 pounds of a mix to sell at $$ 5.00$ a pound. It mixes hard candy at $$ 4.00$ a pound with chocolates at $$ 8.00$ a pound. How many pounds of each does it use?
A shop has 16 pounds of $$ 6.00$ cashews. How many pounds of $$ 1.50$ peanuts should it add to make a mix worth $$ 4.50$ a pound?
A 10-pound mixture is worth $$ 45.00$ in all. It is made of grass seed at $$ 3.00$ a pound and grass seed at $$ 8.00$ a pound. How many pounds of each are in it?



Sigma Prep · sigmaprep.io/worksheets Name Mixture Word ProblemsAnswer keyVersion 1 Date Period Answer each question. Solve mixture problems You mix 10 milliliters of a 5% alcohol solution with 30 milliliters of a 45% solution. What is the concentration of the result? $35 %$ You mix 5 liters of a 10% salt solution with 15 liters of a 30% solution. What is the concentration of the result? $25 %$ You mix 5 liters of a 25% antifreeze solution with 5 liters of a 55% solution. What is the concentration of the result? $40 %$ You mix 8 liters of a 20% acid solution with 4 liters of a 50% solution. What is the concentration of the result? $30 %$ You mix 6 liters of a 30% acid solution with 4 liters of an 80% solution. What is the concentration of the result? $50 %$ You mix 10 liters of a 25% salt solution with 20 liters of a 55% solution. What is the concentration of the result? $45 %$ You mix 30 liters of a 10% acid solution with 10 liters of a 50% solution. What is the concentration of the result? $20 %$ You mix 2 liters of a 30% antifreeze solution with 8 liters of an 80% solution. What is the concentration of the result? $70 %$ You mix 10 liters of a 5% antifreeze solution with 10 liters of a 25% solution. What is the concentration of the result? $15 %$ You mix 5 milliliters of a 20% alcohol solution with 15 milliliters of a 40% solution. What is the concentration of the result? $35 %$ Solve blend problems by price per pound A 14-pound blend is worth $$ 31.50$ in all. It is made of tea at $$ 1.50$ a pound and tea at $$ 5.00$ a pound. How many pounds of each are in it?11 lb at $$ 1.50$ , 3 lb at $$ 5.00$ To make a mix worth $$ 4.10$ a pound, how many pounds of $$ 5.00$ chocolates should be added to 15 pounds of $$ 3.50$ hard candy? $10$ lb How many pounds of $$ 4.00$ coffee must be mixed with 2 pounds of $$ 8.00$ coffee to make a blend worth $$ 4.50$ a pound? $14$ lb A shop wants 30 pounds of a mixture to sell at $$ 5.00$ a pound. It mixes grass seed at $$ 3.50$ a pound with grass seed at $$ 6.00$ a pound. How many pounds of each does it use?12 lb at $$ 3.50$ , 18 lb at $$ 6.00$ How many pounds of $$ 3.00$ peanuts must be mixed with 8 pounds of $$ 6.00$ cashews to make a mix worth $$ 4.60$ a pound? $7$ lb To make a blend worth $$ 4.50$ a pound, how many pounds of $$ 5.50$ tea should be added to 4 pounds of $$ 4.00$ tea? $2$ lb Coffee at $$ 1.50$ a pound is mixed with coffee at $$ 4.50$ a pound to make 20 pounds of a blend worth $$ 4.20$ a pound. How many pounds of each?2 lb at $$ 1.50$ , 18 lb at $$ 4.50$ A shop wants 24 pounds of a mix to sell at $$ 5.00$ a pound. It mixes hard candy at $$ 4.00$ a pound with chocolates at $$ 8.00$ a pound. How many pounds of each does it use?18 lb at $$ 4.00$ , 6 lb at $$ 8.00$ A shop has 16 pounds of $$ 6.00$ cashews. How many pounds of $$ 1.50$ peanuts should it add to make a mix worth $$ 4.50$ a pound? $8$ lb A 10-pound mixture is worth $$ 45.00$ in all. It is made of grass seed at $$ 3.00$ a pound and grass seed at $$ 8.00$ a pound. How many pounds of each are in it?7 lb at $$ 3.00$ , 3 lb at $$ 8.00$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Mixture Word ProblemsAnswer keyVersion 1

Date Period

Answer each question.

Solve mixture problems
You mix 10 milliliters of a 5% alcohol solution with 30 milliliters of a 45% solution. What is the concentration of the result? $35 %$
You mix 5 liters of a 10% salt solution with 15 liters of a 30% solution. What is the concentration of the result? $25 %$
You mix 5 liters of a 25% antifreeze solution with 5 liters of a 55% solution. What is the concentration of the result? $40 %$
You mix 8 liters of a 20% acid solution with 4 liters of a 50% solution. What is the concentration of the result? $30 %$
You mix 6 liters of a 30% acid solution with 4 liters of an 80% solution. What is the concentration of the result? $50 %$
You mix 10 liters of a 25% salt solution with 20 liters of a 55% solution. What is the concentration of the result? $45 %$
You mix 30 liters of a 10% acid solution with 10 liters of a 50% solution. What is the concentration of the result? $20 %$
You mix 2 liters of a 30% antifreeze solution with 8 liters of an 80% solution. What is the concentration of the result? $70 %$
You mix 10 liters of a 5% antifreeze solution with 10 liters of a 25% solution. What is the concentration of the result? $15 %$
You mix 5 milliliters of a 20% alcohol solution with 15 milliliters of a 40% solution. What is the concentration of the result? $35 %$

Solve blend problems by price per pound
A 14-pound blend is worth $$ 31.50$ in all. It is made of tea at $$ 1.50$ a pound and tea at $$ 5.00$ a pound. How many pounds of each are in it?11 lb at $$ 1.50$ , 3 lb at $$ 5.00$
To make a mix worth $$ 4.10$ a pound, how many pounds of $$ 5.00$ chocolates should be added to 15 pounds of $$ 3.50$ hard candy? $10$ lb
How many pounds of $$ 4.00$ coffee must be mixed with 2 pounds of $$ 8.00$ coffee to make a blend worth $$ 4.50$ a pound? $14$ lb
A shop wants 30 pounds of a mixture to sell at $$ 5.00$ a pound. It mixes grass seed at $$ 3.50$ a pound with grass seed at $$ 6.00$ a pound. How many pounds of each does it use?12 lb at $$ 3.50$ , 18 lb at $$ 6.00$
How many pounds of $$ 3.00$ peanuts must be mixed with 8 pounds of $$ 6.00$ cashews to make a mix worth $$ 4.60$ a pound? $7$ lb
To make a blend worth $$ 4.50$ a pound, how many pounds of $$ 5.50$ tea should be added to 4 pounds of $$ 4.00$ tea? $2$ lb
Coffee at $$ 1.50$ a pound is mixed with coffee at $$ 4.50$ a pound to make 20 pounds of a blend worth $$ 4.20$ a pound. How many pounds of each?2 lb at $$ 1.50$ , 18 lb at $$ 4.50$
A shop wants 24 pounds of a mix to sell at $$ 5.00$ a pound. It mixes hard candy at $$ 4.00$ a pound with chocolates at $$ 8.00$ a pound. How many pounds of each does it use?18 lb at $$ 4.00$ , 6 lb at $$ 8.00$
A shop has 16 pounds of $$ 6.00$ cashews. How many pounds of $$ 1.50$ peanuts should it add to make a mix worth $$ 4.50$ a pound? $8$ lb
A 10-pound mixture is worth $$ 45.00$ in all. It is made of grass seed at $$ 3.00$ a pound and grass seed at $$ 8.00$ a pound. How many pounds of each are in it?7 lb at $$ 3.00$ , 3 lb at $$ 8.00$

How to do these

How many liters of a 20% acid solution must be mixed with 30 liters of a 50% solution to make a 40% solution?

The acid in the first is 0.2x, in the second 0.5 times 30, which is 15.
Together they make 0.4 times x plus 30.
So 0.2x plus 15 equals 0.4x plus 12, giving x equals 15 liters.

The answer is $15$ liters.

Where students go wrong

Averaging the two percentages. Mixing a 20% and a 50% solution does not give 35% unless the amounts happen to be equal; the strength is pulled toward whichever there is more of.

Also called solution problems, concentration problems, acid mixture or percent mixture word problems.

What you can put on this worksheet

Mixture problems: How many milliliters of a 20% alcohol solution must be mixed with 4 milliliters of a 60% solution to make a 30% solution? → $12$ milliliters
Mixtures: A shop has 18 pounds of $$ 8.00$ cashews. How many pounds of $$ 3.50$ peanuts should it add to make a mix worth $$ 7.55$ a pound? → $2$ lb
Price of a mix, adding water, a missing price or percent: 8 lb of walnuts are mixed with 7 lb of peanuts that cost $2/lb. The mix is worth $5/lb. What do the walnuts cost per pound? Round to the nearest cent. → $7.63/lb
Find the unknown percent: A jeweler melts 14 grams of one alloy with 14 grams of an alloy that is 20% silver. The new alloy is 30% silver. What percent silver was the first alloy? → $40 %$

Questions about these worksheets

Yes. Every mixture word problems sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the mixture word problems questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 4: mixture problems, mixtures, price of a mix, adding water, a missing price or percent and find the unknown percent. Tick as many as you want and set how many of each, or let it spread them evenly.

Averaging the two percentages. Mixing a 20% and a 50% solution does not give 35% unless the amounts happen to be equal; the strength is pulled toward whichever there is more of.

Mixture word problems worksheet for Algebra 2

Select your difficulty

Solve mixture problems

Solve blend problems by price per pound

Solve mixture problems

Solve blend problems by price per pound

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

Are these mixture word problems worksheets free?+

Do the mixture word problems worksheets come with an answer key?+

Are these mixture word problems worksheets printable?+

What grade are these mixture word problems worksheets for?+

Can I get a different version of the same mixture word problems worksheet?+

Is this a free alternative to Kuta Software for mixture word problems?+

Can I choose how hard the mixture word problems questions are?+

What kinds of question are on a mixture word problems worksheet?+

What do students get wrong with mixture word problems?+