2004 AMC 8 Problem 6

Attempt Problem 6 of the 2004 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 2004 AMC 8 solutions, or check the answer key.

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After Sally takes $20$ shots, she has made $55 \%$ of her shots. After she takes $5$ more shots, she raises her percentage to $56 \%.$ How many of the last $5$ shots did she make?

$1$

$2$

$3$

$4$

$5$

Answer: C

Concepts:percentage linear equation

Difficulty rating: 870

Solution:

Sally made $20 \times .55 = 11$ of her first $20$ shots. Then we get that $\dfrac{11 + x}{25} = .56,$ which tells us that $11 + x = 14$ and $x = 3.$

Thus, C is the correct answer.

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