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?
The friend paid $25,000 for their car.
This conclusion is reached by solving for the amount the friend paid based on the information given in the problem. The problem states that the customer's new car cost $2,000 less than twice what the friend paid. By setting up an equation and solving for the unknown, we can determine the friend's car cost.
This is incorrect because if the friend's car cost $50,000, twice that would be $100,000. Subtracting $2,000 from $100,000 would result in $98,000, which is significantly more than the $48,000 the customer paid for their car.
This is incorrect because if the friend's car cost $23,000, twice that would be $46,000. Subtracting $2,000 from $46,000 would result in $44,000. Therefore, the customer's car would have cost $44,000, not $48,000.
This is correct. If the friend's car cost $25,000, twice that would be $50,000. Subtracting $2,000 from $50,000 results in $48,000, which matches the cost of the customer's car.
This is incorrect. If the friend's car cost $46,000, twice that amount would be $92,000. Subtracting $2,000 from $92,000 would result in $90,000. Therefore, the customer's car would have cost $90,000, not $48,000.
By setting up and solving the equation based on the information provided in the problem, it can be determined that the friend's car cost $25,000. This is the only amount that, when the operations outlined in the problem are performed, results in the given cost of the customer's new car ($48,000). The other choices either result in a cost that is too high or too low.
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