On his road trip, Leon stops to refuel and get some snacks. He has the following purchases:

Question

12 gallons of gas at $2.89 per gallon
2 granola bars for $1.59 each
1 apple for $0.89
2 bottles of vitamin water for $1.39 each
Leon must pay 7.5% sales tax on everything but the gas, which already has tax included in the per gallon price. If Leon paid $44.64, then he _____ for his purchase.
a.
did not pay enough
b.
paid the correct amount
c.
paid $2.60 too much
d.
paid $3.11 too much

Answer 1

To determine if Leon paid the correct amount, we need to calculate the total cost of his purchases, including the sales tax on the items that are subject to it.

1. Cost of gas: \[ 12 \text{ gallons} \times 2.89 \text{ per gallon} = 34.68 \]

2. Cost of granola bars: \[ 2 \text{ granola bars} \times 1.59 \text{ each} = 3.18 \]

3. Cost of the apple: \[ 1 \text{ apple} \times 0.89 = 0.89 \]

4. Cost of vitamin water: \[ 2 \text{ bottles} \times 1.39 \text{ each} = 2.78 \]

Now, let's add up the costs of the items that are subject to sales tax (granola bars, apple, and vitamin water):

\[ \text{Total cost before tax} = 3.18 + 0.89 + 2.78 = 6.85 \]

Next, we calculate the sales tax on this total:

\[ \text{Sales tax} = 7.5% \text{ of } 6.85 = 0.075 \times 6.85 = 0.51375 \]

Now, we can round this to \(0.51\) (if rounding to the nearest cent).

Finally, we can calculate the total amount Leon should have paid:

\[ \text{Total amount} = \text{Cost of gas} + \text{Cost before tax} + \text{Sales tax} = 34.68 + 6.85 + 0.51 = 42.04 \]

Leon paid $44.64, so:

\[ \text{Difference} = 44.64 - 42.04 = 2.60 \]

Since he paid $2.60 more than the calculated total, the answer is:

c. paid $2.60 too much.