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Henning mixes raisins at $2 a pound and nuts at $6 a pound to make 10 pounds of trail mix costing $5.20 a pound. How many pounds of raisins should he use?
A8
B5
C2
D4
Answer & Solution
Correct answer: C. 2
1. Let x equal the pounds of raisins, so the pounds of nuts is 10 minus x.
2. The total cost equation is 2x plus 6(10 minus x) equals 5.20 times 10, or 52.
3. Distribute and combine like terms: negative 4x plus 60 equals 52.
4. Subtract 60 and divide by negative 4 to get x equals 2 pounds of raisins.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.3 Solve Mixture Applications_
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