Question

Devon bought running shocs at a price that was 1/4 off the original price of $88. He paid a sales tax of 7% on

the discounted price and gave the clerk four $20 bills.
How much change should he receive?

A. $ 4.62
B. $ 7.84
C. $ 9.38
D. $12.46
E. $18.62

Answer 1

The correct answer is C. $ 9.38

Step-by-step explanation:

The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:

1. Write the amounts given

`(1)/(4)` of
`88`

2. Divide the number by the denominator (bottom number) and then multiply by the numerator

`88` ÷
`4 = 22`

`22 x 1 = 22`

This means the discount was $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)

1. Write the values

66 = 100 (66 represents the total or 100%)

x = 7 (7% is the value you want to know and the x represents the value is not known)

2. Cross multiply

x 100 = 462

3. Find x

x = 462 ÷ 100

x = 4. 62 ( value of taxes)

Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38