Question

Colin bought a Nissan Sentra that's 3¾ times as expensive as the car his parents bought. If his parents paid $8,000 for theirs, what's the cost of Colin's car?

A. $30,000
B. $28,000
C. $26,000
D. $29,000

Answer 1

A. $30,000

Explanation:

To solve this you just have to do a simple rule of three, where in one side has the price of the car that his parents bought for 8,000 dollars and calculate the money that colin´s car costed in the other side:

`(8000)/(1)= (x)/(3(3)/(4) ) \\x=(3,75*8000)/(1)\\ x=30000`

So now we know that the car that Colin bought was 3.75 times as expensive as his parents 8,000 dollar car, that means it costed 30,000 dollars.

Answer 2

A. $30,000

Explanation:

Let c represent the cost of Colin's car. Then ...

... c = (3 3/4) × $8000 = (3 × $8000) + ((3/4) × $8000)

... = $24000 + 6000

... c = $30,000

The cost of Colin's car is $30,000.