Question 7 • 2025-2026_MDCPS_1205070-M/J Grade 8 Pre-Algebra Sem 1-CR
Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. Mary’s progress is shown in the table of values below. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct?Mary’s Cup-Filling ProgressTime (minutes)0.511.522.5Cups Remaining9981634527
Answer
A
Jorge is filling 14 cups per minute, which is faster than Mary.
B
Jorge is filling 28 cups per minute, which is faster than Mary.
C
Mary is filling 18 cups per minute, which is faster than Jorge.
D
Mary is filling 36 cups per minute, which is faster than Jorge.
Explanation
Jorge’s cups remaining decreased from 53 to 25 over 2 minutes, so he fills (53 − 25) ÷ 2 = 14 cups per minute. Mary’s cups remaining decreased from 99 to 81 in 0.5 minute, which is (99 − 81) ÷ 0.5 = 36 cups per minute. Mary is filling cups faster, so the correct statement is that she fills 36 cups per minute, faster than Jorge.
AI-written and checked against the verified answer.