Mixture Problems Worksheet
Grade 9 Algebra worksheet on solving mixture problems involving percentages and quantities.
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Mixture Problems Worksheet
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Read each problem carefully and solve for the unknown quantity. Show all your work.
1. A chemist has one solution that is 50% acid and another that is 20% acid. How much of each solution should be used to make 100 ml of a solution that is 40% acid?
2. A candy store sells chocolate for $10 per pound and gummy bears for $4 per pound. How many pounds of gummy bears should be mixed with 5 pounds of chocolate to create a mixture that sells for $8 per pound?
3. To make a 10-liter mixture of juice that is 30% cranberry, you need to mix pure cranberry juice with a juice that is 10% cranberry. You will need liters of pure cranberry juice and liters of the 10% cranberry juice.
4. A metallurgist wants to create 20 kg of an alloy that is 60% copper. He has one alloy that is 80% copper and another that is 50% copper. Which equation represents the amount of 80% copper alloy (x) needed?
0.80x + 0.50(20 - x) = 0.60(20)
0.80x + 0.50(x - 20) = 0.60(20)
0.80x + 0.50(20) = 0.60x
0.80(20) + 0.50x = 0.60(20 + x)
5. If you mix 1 liter of 10% saline solution with 1 liter of 30% saline solution, the resulting mixture will be 20% saline.
True
False
6. A solution is 15% alcohol. How much pure alcohol must be added to 200 ml of this solution to make a solution that is 25% alcohol?
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