Question

a store has a sale where all jackets are sold at a discount of 40%. if the regular price of the jackets is $75, how many jackets could be bought at the sale price if a shopper spent $495?

11
12
13
14
15

Explanation:

Calculate the sale price of a single jacket

To find the sale price, we apply the \(40\%\) discount to the regular price of \(\$75\).
The discount amount is:

$$ \text{Discount} = 0.40 \times 75 = 30 $$

The sale price per jacket is:

$$ \text{Sale Price} = 75 - 30 = 45 $$

Determine the number of jackets purchased

To find how many jackets can be bought with \(\$495\), we divide the total amount spent by the sale price of one jacket.
Let \(N\) be the number of jackets:

$$ N = \frac{495}{45} $$

Perform the division

We calculate the value of \(N\):

$$ N = 11 $$

Thus, the shopper could buy \(11\) jackets.

Answer:

• (A) 11 (Correct answer)
• (B) 12
• (C) 13
• (D) 14
• (E) 15