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2007 AMC 8 Problems/Problem 1

Revision as of 15:36, 15 February 2010 by Aplus95 (talk | contribs) (Created page with '== Problem == Theresa's parents have agreed to buy her tickets to see her favorite band if she spends an average of <math>10</math> hours per week helping around the house for <m…')
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Problem

Theresa's parents have agreed to buy her tickets to see her favorite band if she spends an average of $10$ hours per week helping around the house for $6$ weeks. For the first $5$ weeks she helps around the house for $8$, $11$, $7$, $12$ and $10$ hours. How many hours must she work for the final week to earn the tickets?

$\mathrm{(A)}\ 9 \qquad\mathrm{(B)}\ 10 \qquad\mathrm{(C)}\ 11 \qquad\mathrm{(D)}\ 12 \qquad\mathrm{(E)}\ 13$

Solution

We are looking for the average, so $\frac{8 + 11 + 7 + 12 + 10 + x}{6} = 10$

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