Luis makes the following purchases at the store:

Question

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.