Difference between revisions of "2005 AMC 10A Problems/Problem 5"
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A store normally sells windows at <math>100</math> each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How many dollars will they save if they purchase the windows together rather than separately? | A store normally sells windows at <math>100</math> each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How many dollars will they save if they purchase the windows together rather than separately? | ||
| − | <math> \ | + | <math> \textbf{(A) } 100\qquad \textbf{(B) } 200\qquad \textbf{(C) } 300\qquad \textbf{(D) } 400\qquad \textbf{(E) } 500 </math> |
==Solution== | ==Solution== | ||
Revision as of 10:39, 7 December 2021
Contents
Problem
A store normally sells windows at 
each. This week the store is offering one free window for each purchase of four. Dave needs seven windows and Doug needs eight windows. How many dollars will they save if they purchase the windows together rather than separately?
Solution
The store's offer means that every 
th window is free.
Dave would get 
free window.
Doug would get 
free window.
This is a total of 
free windows.
Together, they would get 
free windows.
So they get 
additional window if they purchase the windows together.
Therefore they save 
.
Video Solution
CHECK OUT Video Solution: https://youtu.be/ECBXQ1cE2SI
See also
| 2005 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
