Dennard buys 1 3/4 pounds of cheese for $7.60 per pound. He also buys 2 1/5 pounds of turkey for $8.75 per pound. He pays for his purchase with two $20 bills. How much change should he receive?

Responses
$6.70

$7.45

$16.20

$17.45

1 answer

To find out how much change Dennard should receive, we first need to calculate the total cost of the cheese and turkey he bought.

  1. Calculate the cost of cheese:

    • Weight of cheese: \(1 \frac{3}{4}\) pounds = \(1.75\) pounds
    • Price per pound for cheese: \($7.60\)
    • Total cheese cost: \[ 1.75 , \text{pounds} \times 7.60 , \text{dollars/pound} = 13.30 , \text{dollars} \]
  2. Calculate the cost of turkey:

    • Weight of turkey: \(2 \frac{1}{5}\) pounds = \(2.2\) pounds
    • Price per pound for turkey: \($8.75\)
    • Total turkey cost: \[ 2.2 , \text{pounds} \times 8.75 , \text{dollars/pound} = 19.25 , \text{dollars} \]
  3. Calculate the total cost:

    • Total cost = Cost of cheese + Cost of turkey \[ 13.30 + 19.25 = 32.55 , \text{dollars} \]
  4. Calculate the amount paid:

    • Dennard pays with two $20 bills: \[ 20 + 20 = 40 , \text{dollars} \]
  5. Calculate the change:

    • Change = Amount paid - Total cost \[ 40 - 32.55 = 7.45 , \text{dollars} \]

Therefore, the amount of change Dennard should receive is \($7.45\).