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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

6.

After Sally takes 2020 shots, she has made 55%55\% of her shots. After she takes 55 more shots, she raises her percentage to 56%.56\%. How many of the last 55 shots did she make?
11
22
33
44
55
Answer: C
Concepts:percentagelinear equation
Small hint:
Find how many shots Sally had made after 2020 shots.
Big hint:
Find how many total made shots she had after 2525 shots.
Solution:
Sally made 20×0.55=1120 \times 0.55 = 11 of her first 2020 shots. Then we get that 11+x25=0.56, \dfrac{11 + x}{25} = 0.56, which tells us that 11+x=14 11 + x = 14 and x=3.x = 3.
Thus, C is the correct answer.
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