Difference between revisions of "2014 AMC 8 Problems/Problem 3"

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Isabella had a week to read a book for a school assignment. She read an average of 36 pages per day for the first three days sand an average of 44 pages per day for the next three days. She then finished the book by reading 10 pages ont eh last day. How many pages were in the book?
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==Problem==
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Isabella had a week to read a book for a school assignment. She read an average of <math>36</math> pages per day for the first three days and an average of <math>44</math> pages per day for the next three days. She then finished the book by reading <math>10</math> pages on the last day. How many pages were in the book?
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<math>\textbf{(A) }240\qquad\textbf{(B) }250\qquad\textbf{(C) }260\qquad\textbf{(D) }270\qquad \textbf{(E) }280</math>
 
<math>\textbf{(A) }240\qquad\textbf{(B) }250\qquad\textbf{(C) }260\qquad\textbf{(D) }270\qquad \textbf{(E) }280</math>
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==Solution==
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Isabella read <math>3\cdot 36+3\cdot 44</math> pages in the first 6 days. Although this can be calculated directly, it is simpler to calculate it as <math>3\cdot (36+44)=3\cdot 80</math>, which gives that she read <math>240</math> pages. However, she read <math>10</math> more pages on the last day, for a total of <math>240+10=\boxed{\textbf{(B)}~250}</math> pages.
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==See Also==
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{{AMC8 box|year=2014|num-b=2|num-a=4}}
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{{MAA Notice}}

Latest revision as of 10:08, 2 December 2015

Problem

Isabella had a week to read a book for a school assignment. She read an average of $36$ pages per day for the first three days and an average of $44$ pages per day for the next three days. She then finished the book by reading $10$ pages on the last day. How many pages were in the book?


$\textbf{(A) }240\qquad\textbf{(B) }250\qquad\textbf{(C) }260\qquad\textbf{(D) }270\qquad \textbf{(E) }280$

Solution

Isabella read $3\cdot 36+3\cdot 44$ pages in the first 6 days. Although this can be calculated directly, it is simpler to calculate it as $3\cdot (36+44)=3\cdot 80$, which gives that she read $240$ pages. However, she read $10$ more pages on the last day, for a total of $240+10=\boxed{\textbf{(B)}~250}$ pages.

See Also

2014 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 2
Followed by
Problem 4
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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