Question 140594: Miguels insurance will replace his car if costs exceed 80% of the cars value. The car substained $11200 worth of damage, but it was not replaced. What was the value of the car.
What was the value of the car?
Help. Do I multiply 80% by $11200 to get the value of the car?
Answer by jojo14344(1513)   (Show Source):
You can put this solution on YOUR website! Let's assigned "x" as the value of the car.
The repair should be LESS or EQUAL to 80% of this value (not exceeding) because he kept the car right? Since the worth of damages is given $11,200, we can only maximize this as the 80% of the car's value since we don't have any other criteria as to what percentage is this to the cost of the car. Putting it into equation,
0.80x=$11,200
x=$11,200/0.80
x=$14,000 , value of the car.
You can only check by reversing the formula, that 80% of $14000=0.80($14000)=
$11,200. Showing this is the maximum worth of damages because it was not replaced.
Thank you
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