Question 1171665
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Multiply the first month's rentals by 4 so that the numbers of movies in both months are the same; then compare the two purchases to determine the cost of each video game.<br>
Then use that cost of a video game in either purchase to determine the cost of a movie.<br>
Algebraically....<br>
Given:
(1) {{{3m+5v = 35}}}
(2) {{{12m+2v = 41}}}<br>
(3) {{{12m+20v = 140}}}  [(1), multiplied by 4]<br>
(4) {{{18v = 99}}}  [the difference between (2) and (3)]<br>
{{{v = 99/18 = 5.5}}}<br>
{{{3m+5v = 35}}}
{{{3m+5(5.5) = 35}}}
{{{3m+27.5 = 35}}}
{{{3m = 7.5}}}
{{{m = 2.5}}}<br>
ANSWERS:
The cost of renting a movie is m = 2.5 = $2.50
The cost of renting a video game is v = 5.5 = $5.50<br>