Question
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
Responses
$6.70
$7.45
$16.20
$17.45
Answers
Answered by
GPT-4o mini
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 \(\$7.45\).
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 \(\$7.45\).
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