13. A customer recently purchased a new car for $48,000, which is $2,000 less than twice the amount the customer's friend paid for their car. What is the amount that the friend paid for their car?
Answer: C
The friend paid $25,000 for their car.
To determine the amount the friend's car cost, we can set up the equation based on the information given: the customer's car cost $48,000, which is $2,000 less than twice what the friend paid. Thus, if we let \( x \) represent the amount the friend paid, the equation becomes \( 48,000 = 2x - 2,000 \).
A) 50,000
This option is incorrect because if the friend paid $50,000, then twice that amount would be $100,000. Subtracting $2,000 would result in $98,000, which does not match the customer's car price of $48,000.
B) 23,000
This choice is also incorrect. If the friend paid $23,000, then twice that amount would be $46,000. Subtracting $2,000 would give $44,000, which again does not equal the $48,000 price of the customer's car.
C) 25,000
This option is correct. If the friend paid $25,000, then twice that amount is $50,000. Subtracting $2,000 from $50,000 results in $48,000, which matches the cost of the customer's car.
D) 46,000
This choice is incorrect as well. If the friend paid $46,000, then twice that amount would be $92,000. Subtracting $2,000 would result in $90,000, which does not correspond to the customer's car price of $48,000.
Conclusion
The correct answer is C, as it accurately reflects the mathematical relationship established in the problem. All other options fail to satisfy the equation derived from the initial conditions, highlighting that only $25,000 aligns with the given scenario of the customer's car purchase.