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.

Question

A Table titled Trail Mix showing Pounds, Cost, and Total. The first row shows Raisins, with r, 150, and 1.5 r. The second row shows Peanuts, with 5 minus r, 2.50, and 2.5 left-parenthesis 5 minus r right parenthesis. The last row shows Mixture, with 5, blank, and 10.50.

Which equation can Jeremy use to determine the amount of raisins in the trail mix?

r + 1.50 = 1.5r
r + (5 – r) = 5
1.5r + 2.5(5 – r) = 10.50
1.5r + 2.5(5 – r) = 5

Answer 1

To determine the amount of raisins in the trail mix, Jeremy needs to set up an equation based on the total cost of the ingredients.

From the table we have:

• The weight of raisins is \( r \) pounds.
• The weight of peanuts is \( 5 - r \) pounds (since the total weight is 5 pounds).
• The cost of raisins is \( 1.50r \) (since they cost $1.50 per pound).
• The cost of peanuts is \( 2.50(5 - r) \) (since they cost $2.50 per pound).

The total cost spent on the trail mix is $10.50.

The equation that represents this scenario is: \[ 1.5r + 2.5(5 - r) = 10.50 \]

So, the correct answer is: 1.5r + 2.5(5 – r) = 10.50.