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AssignmentMultiple Choice

Solving Mixture Problems

Question 2 • GA-Algebra: Concepts and Connections A

Marion is making trail mix for a group camping trip. She buys 3 pounds of granola for $3 per pound and 0.75 pounds of raisins for $2 per pound. What equation can you use to find the price per pound of the trail mix?

Answer
A
3(3)(0.75)(2) = (3 + 0.75)x
B
3(3) + 0.75(2) = (3 + 0.75)x
C
3(3)(0.75)(2) = (3 + 0.75) + x
D
3(3) + 0.75(2) = (3 + 0.75) + x

Explanation

The total cost is the cost of the granola plus the cost of the raisins: 3 × $3 + 0.75 × $2. The total weight is 3 + 0.75 pounds. If x is the price per pound of the trail mix, then total cost equals total weight times price per pound, giving 3(3) + 0.75(2) = (3 + 0.75)x. This is choice B.

AI-written and checked against the verified answer.

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