SOLUTION: Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany s

Algebra ->  Decimal-numbers -> SOLUTION: Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany s      Log On


   

Question 1207837: Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each. The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire, what was the original price of each tire?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
purchased on discount:
4%2A85.95=343.8

If not discounted, then some extra x per tire:
4%2A%28x%2B85.95%29


She saved a total of 96.16 dollars.
4%28x%2B85.95%29-4%2A85.95=96.16

.
x%2B85.95-85.95=96.16%2F4
x=24.04------the amount saved PER TIRE.

Original Tire Price was 24.04%2B85.95=highlight%28109.99%29 .

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Brittany needed new tires for her truck. She went to the auto shop and bought 4 tires on sale for $85.95 each.
The salesman told her that she saved a total of $96.16. If Brittany saved the same amount on each tire,
what was the original price of each tire?
~~~~~~~~~~~~~~~~~~~~ 

Brittany saved $96.16 on 4 tires, in total.


Hence, she saved  96.16%2F4 = 24.04 dollars on each tire.


So, the original price per tire was 85.95 + 24.04 = 109.99 dollars.    ANSWER

Solved.

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I wrote this solution here to show you that  3 short lines is enough,  if do not make unnecessary excessive work.

In this problem,  two arithmetic operations are needed:  to divide  $96.24  by  4  and to add the quotient to  $85.95.