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?

Question

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Respuesta :

chisnau chisnau · Answer 1 · 2019-08-13T11:45:44+02:00

Answer:

Caleb paid less than Omar by $12.

Step-by-step 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: [tex]1000-80=920[/tex]

Step 2: [tex]920-(0.15\times920)=782[/tex] 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: [tex]1000-(0.15\times1000)=850[/tex]

Step 2: [tex]850-80=770[/tex] dollars

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

He paid less by [tex]782-770=12[/tex] dollars.