2014 AMC 8 Problem 3

Attempt Problem 3 of the 2014 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 2014 AMC 8 solutions, or check the answer key.

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

3.

Isabella had a week to read a book for a school assignment. She read an average of 3636 pages per day for the first three days and an average of 4444 pages per day for the next three days. She then finished the book by reading 1010 pages on the last day. How many pages were in the book?
240 240
250 250
260 260
270 270
280 280
Answer: B
Concepts:mean
Small hint:
Convert each average into a total number of pages.
Big hint:
Add the first three days, next three days, and last day.
Solution:
During the first three days, Isabella read 36⋅3=10836 \cdot 3 = 108 pages.
During the next three days, Isabella read 44⋅3=13244 \cdot 3 = 132 pages.
Therefore, she read a total of 108+132+10=250108 + 132 + 10 = 250 pages.
Thus, B is the correct answer.
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