1995 AMC 8 Problem 14

Attempt Problem 14 of the 1995 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 1995 AMC 8 solutions, or check the answer key.

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

14.

A team won 4040 of its first 5050 games. How many of the remaining 4040 games must this team win so it will have won exactly 70%70\% of its games for the season?
2020
2323
2828
3030
3535
Answer: B
Concepts:percentage
Small hint:
The season has 50+40=9050 + 40 = 90 games; find 70%70\% of that
Big hint:
Subtract the 4040 games already won from the needed total
Solution:
The season has 50+40=9050 + 40 = 90 games, and 70%70\% of 9090 is 6363 wins.
The team already has 4040 wins, so it needs 63−40=2363 - 40 = 23 more.
Thus, the correct answer is B .
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