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) 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(10555) 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.
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 highlight_green%28matrix%281%2C5%2C+V%2C+%22=%22%2C+46%2F8%2C+%22=%22%2C+%22%245.75%22%29%29

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