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

Algebra ->  Percentage-and-ratio-word-problems -> 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      Log On


   

Question 1160615: 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 3 solutions by MathLover1, MathTherapy, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let movies be m and video games g
if one month Michael rented 9 movies and 7+video games for a total of $56, we have
9m%2B7g=56.........solve for m
9m=56-7g
m=56%2F9-7g%2F9........eq.1
if the next month he rented 3 movies and 5 video games for a total of $34, we have
3m%2B5g=34.........solve for m
3m=34-5g
m=34%2F3-5g%2F3........eq.2
from eq.1 and eq.2 we have
56%2F9-7g%2F9=34%2F3-5g%2F3.............solve for g, both sides multiply by 9 to get rid of fraction
56-7g=34%2A3-5g%2A3
56-7g=102-15g
15g-7g=102-56
8g=46
g=5.75
go to
m=56%2F9-7g%2F9........eq.1, substitute g
m=56%2F9-%287%2A5.75%29%2F9
m=56%2F9-40.25%2F9
m=6.222222222222221-4.472222222222222
m=1.75

the rental cost for each movie is $1.75 and for each video game is $5.75


Answer by MathTherapy(10552) About Me  (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.
DON'T DO IT THE WAY THAT WOMAN TELLS YOU TO!!

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
M movie price
V video price

system%289M%2B7V=56%2C3M%2B5V=34%29
-
%289M%2B7V%29%2B%283M%2B5V%29=56%2B34
.
.
12M%2B12V=90
.
.


Best way might be, multiply the "34" equation by 3:
system%289M%2B7V=56%2C9M%2B15V=102%29

E2-E1:

8V=46
highlight%28V=5.75%29

To find M,
M=%2856-%287%29%285.75%29%29%2F9