1995 AMC 8 Problem 10

Attempt Problem 10 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).

10.

A jacket and a shirt originally sold for $80\$80 and $40,\$40, respectively. During a sale Chris bought the $80\$80 jacket at a 40%40\% discount and the $40\$40 shirt at a 55%55\% discount. The total amount saved was what percent of the total of the original prices?
45%45\%
4712%47\tfrac12\%
50%50\%
7916%79\tfrac16\%
95%95\%
Answer: A
Concepts:percentage
Small hint:
Find the dollars saved on each item separately
Big hint:
Divide the total saved by the total original price of $120\$120
Solution:
The jacket discount saves 40%40\% of $80=$32,\$80 = \$32, and the shirt discount saves 55%55\% of $40=$22.\$40 = \$22. The total saved is $32+$22=$54.\$32 + \$22 = \$54.
The original total is $80+$40=$120,\$80 + \$40 = \$120, so the percent saved is 54120=0.45=45%.\dfrac{54}{120} = 0.45 = 45\%.
Thus, the correct answer is A .
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