1998 AMC 8 Problem 8

Attempt Problem 8 of the 1998 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 1998 AMC 8 solutions, or check the answer key.

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

8.

A child’s wading pool contains 200200 gallons of water. If water evaporates at the rate of 0.50.5 gallons per day and no other water is added or removed, how many gallons of water will be in the pool after 3030 days?
140140
170170
185185
198.5198.5
199.85199.85
Answer: C
Concepts:rate
Small hint:
Find how much water evaporates in 3030 days.
Big hint:
Subtract 0.5⋅300.5\cdot 30 from the starting amount.
Solution:
The amount lost is 0.5⋅30=150.5\cdot 30=15 gallons. Therefore, the amount left is 200−15=185.200-15=185.
Thus, the correct answer is C .
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