AlgebraHardMixing two ingredients to a target price
Algebra practice question
A grocer mixes nuts that cost $8 per kilogram with raisins that cost $3 per kilogram to make 10 kilograms of a mix worth $5 per kilogram. How many kilograms of nuts are in the mix?
Answer: 4
Let n be the kilograms of nuts: 8n + 3(10 − n) = 5(10) → 5n + 30 = 50 → n = 4.
Common wrong answers
- If you answered 2
- 2 comes from 8n + 3(10 − n) = 40, using the wrong total value.
- If you answered 5
- 5 assumes equal amounts, which would cost $5.50 per kilogram.
- If you answered 6
- 6 is the kilograms of raisins.
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