Question

ANSWER BOTH!!!

A. An item is regularly priced at $65. Bill bought it at a discount of 20% off the regular price. How much did Bill pay?

B. The wholesale price for a pillow is $4.50. A certain department store marks up the wholesale price by 40%. Find the price of the pillow in the department store.
Round your answer to the nearest cent, as necessary.

Answer 1

• A = $52.00
• B = $6.30

Explanation:

A. How much Bill paid AFTER the discount.

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

B. The price of the pillow in the department store.

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

• Set up a fraction

`(4.50)/(x)=(100\%)/(40\%)`

• The reciprocal of both sides gives

`(x)/(4.50)=(40)/(100)`

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30