2012 AMC 8 Problem 4

Below is the video solution and professionally curated solution for Problem 4 of the 2012 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2012 AMC 8 solutions, or check the answer key.

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Concepts:fraction

Difficulty rating: 450

Peter's family ordered a $12$ -slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?

$\dfrac{1}{24}$

$\dfrac{1}{12}$

$\dfrac{1}{8}$

$\dfrac{1}{6}$

$\dfrac{1}{4}$

Video solution:

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Written solution:

Peter ate $1$ full slice, and he ate $\dfrac 12$ of the slice that he split.

Therefore, he ate $\dfrac{3/2}{12}$ of the pizza, which is equivalent to $\dfrac 18.$

Thus, the answer is C .

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