PSAT Math Multiple-Choice Question 310: Answer and Explanation

Question: 310

An online video game service has two different packages available. The first is an Unlimited Rental Package that costs $250 for 3 months and allows customers to rent as many games as they want. The second is the Standard Rental Package that initially has a flat fee of $130 but costs $4 per rental in the 3-month period. How many rentals on the Standard Rental Package would it take for both packages to equal the same price over 3 months?

• A. 2
• B. 30
• C. 96
• D. 120

Correct Answer: B

Explanation:

B

Difficulty: Medium

Getting to the Answer: Translate from English into math by assembling equations and setting them equal to each other. Let u = Unlimited Rental Package, s = Standard Rental Package, and r = number of rentals. Using the information about each package, you know that u = 250 and s = 130 + 4r. Now, solve for r when u = s:

Choice (B) is correct.