SOLUTION: One month Michael rented 9 movies and 7 video games for a total of $56 . The next month he rented 3 movies and 5 video games for a total of $34 . Find the ren

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Question 1160616: One month Michael rented
9
movies and
7
video games for a total of
$56
. The next month he rented
3
movies and
5
video games for a total of
$34
. Find the rental cost for each movie and each video game.

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let movies be and video games
if one month Michael rented movies and video games for a total of $, we have
.........solve for

........eq.1
if the next month he rented movies and video games for a total of $, we have
.........solve for

........eq.2
from eq.1 and eq.2 we have
.............solve for , both sides multiply by to get rid of fraction





go to
........eq.1, substitute





the rental cost for each movie is $ and for each video game is $


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

One month Michael rented
9
movies and
7
video games for a total of
$56
. The next month he rented
3
movies and
5
video games for a total of
$34
. Find the rental cost for each movie and each video game.
If you know what's good for you, STAY AWAY from that woman's RIDICULOUS solution!

This is how this is DONE!
Let cost of a movie and a video be M, and V, respectively
Then we get: 9M + 7V = 56 ------ eq (i)
Also, 3M + 5V = 34 ------- eq (ii)
9M + 15V = 102 ------- Multiplying eq (ii) by 3 ----- eq (iii)
8V = 46 ------ Subtracting eq (i) from eq (iii)
Cost to rent a video, or 

3M + 5(5.75) = 34 ------ Substituting 5.75 for V in eq (ii)
3M + 28.75 = 34
3M = 34 - 28.75
3M = 5.25
Cost to rent a movie, or 

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