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Westkost
3 months ago
11

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
Mathematics
2 answers:
lawyer [12.5K]3 months ago
8 0
The correct answer is C. 1.5r + 2.5(5 – r) = 10.50.
zzz [12.3K]3 months ago
4 0
The solution is c. 1.5r + 2.5(5 – r) = 10.50. Let r represent the count of raisins and p represent peanuts. The cost of raisins is $1.50 per pound which gives us 1.5r. Peanuts are priced at $2.50 per pound, leading to 2.5p. Jeremy's total expenditure is $10.50 which translates to 1.50r + 2.50p = 10.50. For 5 pounds of trail mix, the equation r + p = 5 applies. Thus, our system of equations becomes 1.5r + 2.5p = 10.50 and r + p = 5. Rearranging the second equation gives us p = 5 - r, and substituting this into the first leads to 1.5r + 2.5(5 - r) = 10.50. Hence, the correct equation is c. 1.5r + 2.5(5 – r) = 10.50.
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