Question

Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and

Caleb each have two coupons. Each of them uses both of his coupons toward the cost of the repair. One
coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost. Omar and Caleb use their
coupons in a different order, as shown below.
Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on
the remaining balance.
Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on
the remaining balance.
Who paid the least amount of money for his car repair and how much less did he pay?

Answer 1

Caleb paid less than Omar by $12.

Explanation:

The initial cost of each repair is $1,000.

One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost.

Case 1:

Omar uses the $80 off the repair cost coupon first. He then uses the 15% off the repair cost coupon on the remaining balance.

Step 1:
`1000-80=920`

Step 2:
`920-(0.15*920)=782` dollars

Case 2:

Caleb uses the 15% off the repair cost coupon first. He then uses the $80 off the repair cost coupon on the remaining balance.

Step 1:
`1000-(0.15*1000)=850`

Step 2:
`850-80=770` dollars

Now, comparing the values we can see that Caleb paid less.

He paid less by
`782-770=12` dollars.