SOLUTION: Please help One month Tammy rented 3 movies and 5 video games for a total of $35. The next month she rented 12 movies and 2 video games for a total of $41. Find the rental cos

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Please help One month Tammy rented 3 movies and 5 video games for a total of $35. The next month she rented 12 movies and 2 video games for a total of $41. Find the rental cos      Log On

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Question 1171665: Please help

One month Tammy rented 3 movies and 5 video games for a total of $35. The next month she rented 12 movies and 2 video games for a total of $41. Find the rental cost for each movie and each video game.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


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.

Then use that cost of a video game in either purchase to determine the cost of a movie.

Algebraically....

Given:
(1) 3m%2B5v+=+35
(2) 12m%2B2v+=+41

(3) 12m%2B20v+=+140 [(1), multiplied by 4]

(4) 18v+=+99 [the difference between (2) and (3)]

v+=+99%2F18+=+5.5

3m%2B5v+=+35
3m%2B5%285.5%29+=+35
3m%2B27.5+=+35
3m+=+7.5
m+=+2.5

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