Art of Problem Solving
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2013 AMC 8 Problems/Problem 12: Difference between revisions

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==Solution==
==Solution==
First, find the amount of money one will pay for three sandals without the discount. This would = the regular price, <math>\textdollar 50</math> <math>\times</math> sandals = <math>\textdollar 150</math>.
First, find the amount of money one will pay for three sandals without the discount. This would = the regular price, <math>\textdollar 50</math> <math>\times</math> 3 sandals = <math>\textdollar 150</math>.
 
Then, find the amount of money using the discount: 50 + 0.6 <math>\times</math> 50 + <math>\frac{1}{2}</math> <math>\times</math> 50 = $\textdollar 105.


==See Also==
==See Also==
{{AMC8 box|year=2013|num-b=11|num-a=13}}
{{AMC8 box|year=2013|num-b=11|num-a=13}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 17:25, 27 November 2013

Problem

At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save?

$\textbf{(A)}\ 25 \qquad \textbf{(B)}\ 30 \qquad \textbf{(C)}\ 33 \qquad \textbf{(D)}\ 40 \qquad \textbf{(E)}\ 45$

Solution

First, find the amount of money one will pay for three sandals without the discount. This would = the regular price, $\textdollar 50$ $\times$ 3 sandals = $\textdollar 150$.

Then, find the amount of money using the discount: 50 + 0.6 $\times$ 50 + $\frac{1}{2}$ $\times$ 50 = $\textdollar 105.

See Also

2013 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
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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