Question

Manny makes the following purchases at the store:
pair of jeans for $32.65
3 t-shirts for $14.89 each
pair of sneakers for $39.99
The store is having a promotional sale where 10% is taken off of each customer’s total purchase before tax. The sales tax is 8%. If Manny paid $114.03 , then he _____ for his purchase.
a.
paid $5.63 too little
b.
paid $3.28 too little
c.
paid the correct amount
d.
paid $8.45 too much

Answer 1

To determine if Manny paid the correct amount, we need to calculate the total cost of his purchases before any discounts or taxes.

1. **Calculate the total cost of each item:**
- Jeans: $32.65
- T-shirts: 3 shirts × $14.89 each = $44.67
- Sneakers: $39.99

2. **Add the costs together:**
\[
\text{Total Cost} = 32.65 + 44.67 + 39.99 = 117.31
\]

3. **Apply the 10% promotional discount:**
\[
\text{Discount} = 117.31 \times 0.10 = 11.731
\]
\[
\text{Total after discount} = 117.31 - 11.731 = 105.579
\]

4. **Calculate the sales tax (8%):**
\[
\text{Sales Tax} = 105.579 \times 0.08 = 8.44632
\]
\[
\text{Total after tax} = 105.579 + 8.44632 \approx 114.02532
\]

5. **Round to two decimal places:**
\[
\text{Total after tax} \approx 114.03
\]

Manny paid $114.03, which matches our calculated total after tax. Thus, he paid the correct amount.

The answer is:
c. paid the correct amount