Difference between revisions of "2013 AMC 8 Problems/Problem 12"

(Solution)
m (Solution)
Line 12: Line 12:
  
 
To find the percent saved, do this: <math>100 \%</math> - <math>70 \%</math> = <math>\boxed{\textbf{(B)}\ 30}</math>
 
To find the percent saved, do this: <math>100 \%</math> - <math>70 \%</math> = <math>\boxed{\textbf{(B)}\ 30}</math>
 
 
--[[User:Arpanliku|Arpanliku]] 17:29, 27 November 2013 (EST) HIII
 
  
 
==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 20:04, 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 = $\textdollar 105$.

To find the percentage of the regular, do this: $\frac{105}{150}$ = $70 \%$.

To find the percent saved, do this: $100 \%$ - $70 \%$ = $\boxed{\textbf{(B)}\ 30}$

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

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

Invalid username
Login to AoPS