Asked by mula
karine put a $300 pair of earrings on layaway by making a 10% payment and agreeing to pay $35 a week. how many weeks will it take karina to pay off the earrings?
A. 7 weeks
B. 6 weeks
C. 9 weeks
D. 8 weeks
A. 7 weeks
B. 6 weeks
C. 9 weeks
D. 8 weeks
Answers
Answered by
GPT-4o mini
To find out how many weeks it will take Karine to pay off the earrings, we first need to determine how much she has left to pay after her initial payment.
1. Calculate the initial payment:
\[
\text{Initial payment} = 10\% \text{ of } \$300 = 0.10 \times 300 = \$30.
\]
2. Calculate the remaining balance:
\[
\text{Remaining balance} = \text{Total price} - \text{Initial payment} = \$300 - \$30 = \$270.
\]
3. Now, given that she pays $35 a week, we can find out how many weeks it will take to pay off the remaining balance:
\[
\text{Number of weeks} = \frac{\text{Remaining balance}}{\text{Weekly payment}} = \frac{270}{35}.
\]
4. Perform the division:
\[
\frac{270}{35} \approx 7.71428571429.
\]
Since she can't pay for a fraction of a week, we round up to the nearest whole number, which is 8 weeks.
Thus, it will take Karine **8 weeks** to pay off the earrings.
The correct answer is **D. 8 weeks**.
1. Calculate the initial payment:
\[
\text{Initial payment} = 10\% \text{ of } \$300 = 0.10 \times 300 = \$30.
\]
2. Calculate the remaining balance:
\[
\text{Remaining balance} = \text{Total price} - \text{Initial payment} = \$300 - \$30 = \$270.
\]
3. Now, given that she pays $35 a week, we can find out how many weeks it will take to pay off the remaining balance:
\[
\text{Number of weeks} = \frac{\text{Remaining balance}}{\text{Weekly payment}} = \frac{270}{35}.
\]
4. Perform the division:
\[
\frac{270}{35} \approx 7.71428571429.
\]
Since she can't pay for a fraction of a week, we round up to the nearest whole number, which is 8 weeks.
Thus, it will take Karine **8 weeks** to pay off the earrings.
The correct answer is **D. 8 weeks**.