Ozzie has a coupon for 5% off any purchase in his favorite bakery. When Ozzie stops to buy some cookies, he discovers that all cookies are on sale for 15% off the regular price. The cookies are regularly $5.89 per dozen. If Ozzie uses his coupon and pays 7% sales tax, how much does he pay for two dozen cookies?

a.
$9.42
b.
$9.51
c.
$10.08
d.
$10.18

1 answer

First, we need to calculate the regular price for two dozen cookies. The price for one dozen cookies is $5.89, so for two dozen:

\[ \text{Regular price for two dozen} = 2 \times 5.89 = 11.78 \]

Next, we apply the 15% discount on the regular price.

\[ \text{Discount amount} = 11.78 \times 0.15 = 1.767 \]

Now, we subtract the discount from the regular price:

\[ \text{Sale price} = 11.78 - 1.767 = 10.013 \]

Next, we apply Ozzie's 5% coupon on the sale price:

\[ \text{Coupon discount} = 10.013 \times 0.05 = 0.50065 \]

Subtract the coupon discount from the sale price:

\[ \text{Price after coupon} = 10.013 - 0.50065 = 9.51235 \]

Finally, we add the 7% sales tax to the price after coupon:

\[ \text{Sales tax} = 9.51235 \times 0.07 = 0.6658645 \]

Now we add the sales tax to the price after the coupon:

\[ \text{Total price} = 9.51235 + 0.6658645 = 10.1782145 \]

Rounding to two decimal places, Ozzie pays approximately:

\[ \text{Total price} \approx 10.18 \]

Thus, the answer is:

d. $10.18