Manny makes the following purchases at the store:

Question

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