Question

Jamila was shopping for jeans at a store near her home. On the rack where she found the jeans, she saw two signs. The first one read, “Clearance: 20% off.” The second one read, “$10 off—Instant Savings.” The original price of the jeans was $45.00. Jamila lives in Oregon, where there is no sales tax. (7.RP.3) (2 pts)(1 point) Part A: How much will Jamila pay for the jeans if the 20% discount is applied before the $10 discount? $ Question 2 (1 point) Part B: How much will Jamila pay for the jeans if the $10 discount is applied before the 20% discount?

Answer 1

To determine how much Jamila will pay for the jeans under both scenarios, we'll need to calculate the final prices based on the original price of $45.00, first applying the 20% discount and then the $10 discount, and vice versa.

### Part A: 20% Discount First

1. **Calculate the 20% discount:**
\[
20\% \, \text{of} \, 45.00 = 0.20 \times 45.00 = 9.00
\]

2. **Subtract the 20% discount from the original price:**
\[
45.00 - 9.00 = 36.00
\]

3. **Apply the $10 instant savings:**
\[
36.00 - 10.00 = 26.00
\]

So, if the 20% discount is applied before the $10 discount, Jamila will pay **$26.00**.

### Part B: $10 Discount First

1. **Apply the $10 instant savings first:**
\[
45.00 - 10.00 = 35.00
\]

2. **Now calculate the 20% discount on the new price:**
\[
20\% \, \text{of} \, 35.00 = 0.20 \times 35.00 = 7.00
\]

3. **Subtract the 20% discount from the new price:**
\[
35.00 - 7.00 = 28.00
\]

So, if the $10 discount is applied before the 20% discount, Jamila will pay **$28.00**.

### Summary of Results:
- **Part A:** $26.00 (20% discount first)
- **Part B:** $28.00 ($10 discount first)