A consumer recently purchased a new car and paid $48,000. This amount is $2,000 less than twice what the consumer’s friend paid for their car. Which of the following is the amount that the friend paid for their car?
A.
$23,000
B.
$46,000
C.
$25,000
D.
$50,000
Let’s denote the amount the friend paid for their car as xxx.
According to the problem, the consumer paid $48,000, which is $2,000 less than twice the amount the friend paid. This can be expressed as:48,000=2x−2,00048,000 = 2x – 2,00048,000=2x−2,000
To find xxx, solve the equation:48,000+2,000=2×48,000 + 2,000 = 2×48,000+2,000=2×50,000=2×50,000 = 2×50,000=2xx=50,0002=25,000x = \frac{50,000}{2} = 25,000x=250,000=25,000
So, the friend paid $25,000 for their car.
The correct answer is C. $25,000.