1995 AMC 8 Problem 4

Below is the professionally curated solution for Problem 4 of the 1995 AMC 8, 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.

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Concepts:order of operations

Difficulty rating: 450

A teacher tells the class, "Think of a number, add $1$ to it, and double the result. Give the answer to your partner. Partner, subtract $1$ from the number you are given and double the result to get your answer." Ben thinks of $6,$ and gives his answer to Sue. What should Sue's answer be?

$18$

$24$

$26$

$27$

$30$

Solution:

Ben computes $(6 + 1) \times 2 = 14$ and gives $14$ to Sue.

Sue computes $(14 - 1) \times 2 = 26$ .

Thus, the correct answer is C .

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