2004 AMC 8 Problem 10

Attempt Problem 10 of the 2004 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

10.

Handy Aaron helped a neighbor 1141 \frac{1}{4} hours on Monday, 5050 minutes on Tuesday, from 8:208:20 to 10:4510:45 on Wednesday morning, and a half-hour on Friday. He is paid $3\$3 per hour. How much did he earn for the week?
$8\$8
$9\$9
$10\$10
$12\$12
$15\$15
Answer: E
Concepts:unit conversionrate
Small hint:
Convert all the work times to minutes.
Big hint:
After finding total minutes, convert to hours before multiplying by $3.\$3.
Solution:
Aaron worked 7575 minutes on Monday, 5050 minutes on Tuesday, 145145 minutes on Wednesday, and 3030 minutes on Friday.
The total is 75+50+145+30=30075+50+145+30=300 minutes, or 55 hours.
At $3\$3 per hour, he earned 5⋅3=155\cdot3=15 dollars.
Thus, E is the correct answer.
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