A young woman wins $150,000 and buys 5 new cars. She chooses from cars that are priced at $40,000, $30,000, and $25,000 and spends all of the money. How many $25,000 cars did she buy?

Question

Quizplus · Accepted Answer

To spend exactly $150,000 on 5 cars, the young woman could buy 2 cars at $40,000 each ($80,000) and 3 cars at $25,000 each ($75,000), totaling $155,000. However, since she must spend exactly $150,000, she can buy 3 cars at $30,000 each ($90,000) and 2 cars at $30,000 each ($60,000), totaling exactly $150,000. Therefore, she can buy 0 or 2 cars at $25,000 each to exactly spend her $150,000 on 5 cars.

A Young Woman Wins $150,000 and Buys 5 New Cars