Question

Luis makes the following purchases at the store:
1 gallon of milk at $2.89
2 loaves of bread at $2.19 each
2 pounds of ham at $6.89 per pound
1/2 pound of cheese at $8.38 per pound
Luis has a coupon for 75 cents off on the purchase of one loaf of bread that is applied before tax, and he pays 4% sales tax. If Luis paid $29.83 , then he _____ for his purchase.
a.
did not pay enough
b.
paid the correct amount
c.
paid $3.58 too much
d.
paid $4.36 too much

Answer 1

Let's break down Luis's purchases step by step and calculate the total cost before tax, the tax amount, and then compare it to the amount he paid.

1. **Cost of items before the coupon and tax:**

- Milk: $2.89
- Bread: 2 loaves at $2.19 each:
\[
2 \times 2.19 = 4.38
\]
- Ham: 2 pounds at $6.89 per pound:
\[
2 \times 6.89 = 13.78
\]
- Cheese: 1/2 pound at $8.38 per pound:
\[
0.5 \times 8.38 = 4.19
\]

2. **Calculating the total cost before the coupon:**
\[
\text{Total before coupon} = 2.89 + 4.38 + 13.78 + 4.19 = 25.24
\]

3. **Applying the coupon for one loaf of bread ($0.75 off):**
\[
\text{Total after coupon} = 25.24 - 0.75 = 24.49
\]

4. **Calculating sales tax (4% of the total after the coupon):**
\[
\text{Sales tax} = 0.04 \times 24.49 = 0.9796 \text{ (approximately } 0.98\text{ when rounded to two decimal points)}
\]

5. **Calculating the total amount Luis should pay including sales tax:**
\[
\text{Total including tax} = 24.49 + 0.98 = 25.47
\]

6. **Now let's compare this with the amount Luis paid:**
Luis paid $29.83.

7. **Calculating the difference:**
\[
29.83 - 25.47 = 4.36
\]

Luis paid **$4.36 too much** for his purchase.

Thus, the correct answer is:
d. paid $4.36 too much.