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.
How many milliliters of a 5% alcohol solution must be mixed with 30 milliliters of a 45% solution to make a 35% solution?10 milliliters
Coffee at $1.50 a pound is mixed with coffee at $6.50 a pound to make 25 pounds of a blend worth $3.50 a pound. How many pounds of each?15 lb at $1.50, 10 lb at $6.50
How many liters of a 15% antifreeze solution must be mixed with 4 liters of a 45% solution to make a 25% solution?8 liters
Coffee at $1.50 a pound is mixed with coffee at $5.00 a pound to make 14 pounds of a blend worth $2.25 a pound. How many pounds of each?11 lb at $1.50, 3 lb at $5.00
How many liters of a 25% salt solution must be mixed with 2 liters of a 55% solution to make a 35% solution?4 liters
Coffee at $4.00 a pound is mixed with coffee at $5.00 a pound to make 20 pounds of a blend worth $4.20 a pound. How many pounds of each?16 lb at $4.00, 4 lb at $5.00
How many liters of a 15% salt solution must be mixed with 5 liters of a 35% solution to make a 25% solution?5 liters
Coffee at $3.50 a pound is mixed with coffee at $8.00 a pound to make 6 pounds of a blend worth $5.00 a pound. How many pounds of each?4 lb at $3.50, 2 lb at $8.00
How many liters of a 10% antifreeze solution must be mixed with 20 liters of a 60% solution to make a 30% solution?30 liters
Coffee at $1.00 a pound is mixed with coffee at $8.00 a pound to make 14 pounds of a blend worth $5.50 a pound. How many pounds of each?5 lb at $1.00, 9 lb at $8.00
How many liters of a 15% acid solution must be mixed with 10 liters of a 45% solution to make a 35% solution?5 liters
Coffee at $1.50 a pound is mixed with coffee at $7.50 a pound to make 34 pounds of a blend worth $4.50 a pound. How many pounds of each?17 lb at $1.50, 17 lb at $7.50
How many liters of a 5% acid solution must be mixed with 15 liters of a 25% solution to make a 20% solution?5 liters
Coffee at $4.00 a pound is mixed with coffee at $7.00 a pound to make 20 pounds of a blend worth $4.90 a pound. How many pounds of each?14 lb at $4.00, 6 lb at $7.00
How many liters of a 10% salt solution must be mixed with 10 liters of a 30% solution to make a 20% solution?10 liters
Coffee at $1.00 a pound is mixed with coffee at $7.50 a pound to make 15 pounds of a blend worth $3.60 a pound. How many pounds of each?9 lb at $1.00, 6 lb at $7.50
How many liters of a 25% acid solution must be mixed with 10 liters of a 55% solution to make a 45% solution?5 liters
Coffee at $2.00 a pound is mixed with coffee at $6.00 a pound to make 32 pounds of a blend worth $3.75 a pound. How many pounds of each?18 lb at $2.00, 14 lb at $6.00
How many liters of a 15% salt solution must be mixed with 10 liters of a 55% solution to make a 25% solution?30 liters
Coffee at $3.00 a pound is mixed with coffee at $6.50 a pound to make 7 pounds of a blend worth $5.50 a pound. How many pounds of each?2 lb at $3.00, 5 lb at $6.50
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 towards 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
Coffee at $4.00 a pound is mixed with coffee at $7.00 a pound to make 28 pounds of a blend worth $5.50 a pound. How many pounds of each?→ 14 lb at $4.00, 14 lb at $7.00
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 1 is usually taken around 8th or 9th 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 2: mixture problems and mixtures. 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 towards whichever there is more of.