PSAT Math Multiple-Choice Question 756: Answer and Explanation

Question: 756

Jay is purchasing gifts for his four friends' high school graduation. He has a budget of at most $150. He is purchasing a restaurant gift card of $25 for one friend, a tool set that costs $40 for another friend, and a $35 college sweatshirt for a third friend. For his fourth friend, he wants to see how many $0.25 quarters (Q) he can give for the friend to use for laundry money. What expression gives the range of quarters Jay can acquire given his budgetary restrictions?

• A. 1 ≤ Q ≤ 300
• B. 1 ≤ Q ≤ 200
• C. 10 ≤ Q ≤ 120
• D. 40 ≤ Q ≤ 60

Correct Answer: B

Explanation:

(B) After purchasing gifts for his other friends, Jay has $50 left. Since 200 quarters equals $50, the range of what Jay can give his friend is between 1 and 200 quarters, inclusive. This is expressed as 1 ≤ Q ≤ 200.