Question

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

Answer 1

1.5r + 2.5(5 - r) = 10.50

Answer 2

`1.5r + 2.5(5 - r) = 10.50`

Explanation:

Let 'r' is the amount of raisins

Amount of total mixture is 5 pounds

So 5-x is the amount of peanuts

Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound.

1.50(raisins) +2.50(peanuts)= 10.50

Replace raisins with 'r' and peanuts with 5-r

`1.5r + 2.5(5 - r) = 10.50`

This is our required equation