Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?

a. r + 1.50 = 1.5r

b. r + (5 - r) = 5

c. 1.5r + 2.5 (5 - r) = 10.50

d. 1.5r + 2.5 (5 - r) = 5

Question

Mathematics

Annabel Soto

4 May, 05:54

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?

a. r + 1.50 = 1.5r

b. r + (5 - r) = 5

c. 1.5r + 2.5 (5 - r) = 10.50

d. 1.5r + 2.5 (5 - r) = 5

+4

Answers (1)

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Aisha · Answer 1

The answer is c. 1.5r + 2.5 (5 - r) = 10.50. Let r be the number of raisins and p be the number of peanuts. Raisins cost $1.50 per pound: 1.5r. Peanuts cost $2.50 per pound: 2.5p. Jeremy spends $10.50: 1.50r + 2.50p = 10.50. Jeremy makes 5 pounds of trail mix: r + p = 5. So, we have the system of two equations: 1.5r + 2.5p = 10.50 and r + p = 5. Use the second equation to express p: p = 5 - r. Now, substitute p in the first equation: 1.5r + 2.5 (5 - r) = 10.50. Therefore, the correct choice is c. 1.5r + 2.5 (5 - r) = 10.50.