Type as integer or decimal

Question

After a serious automobile accident, most insurance companies will replace a damaged car with a new one if repair costs exceed 80 percent of the value of the car. An individuals car recently sustained $11,600 worth of damage but was not replaced . What was the value of the car.

Answer 1

Since the car was not replaced, 80% of the value of the car must be more than $11,600:

 

(Value of Car)*(80%) ≥ $11,600

 

We use the "greater than or equal to" (≥) because repair costs must exceed 80% for the car to be replaced.  Hence if the repair costs equal 80%, the car will not be replaced.  Express the percent as a decimal:

 

(Value of Car)*(0.80) ≥ $11,600

 

Value of Car ≥ ($11,600)/(0.80)

 

Value of Car ≥ $14,500

 

This is the best you can do with the information provided.