1995 AMC 8 Problem 4

Attempt Problem 4 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).

4.

A teacher tells the class, “Think of a number, add 11 to it, and double the result. Give the answer to your partner. Partner, subtract 11 from the number you are given and double the result to get your answer.” Ben thinks of 6,6, and gives his answer to Sue. What should Sue’s answer be?
1818
2424
2626
2727
3030
Answer: C
Concepts:order of operations
Small hint:
First compute Ben’s answer: add 11 to 6,6, then double
Big hint:
Sue takes Ben’s number, subtracts 1,1, and doubles that
Solution:
Ben computes (6+1)×2=14(6 + 1) \times 2 = 14 and gives 1414 to Sue.
Sue computes (14−1)×2=26(14 - 1) \times 2 = 26.
Thus, the correct answer is C .
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