SOLUTION: stion One month Alonzo rented 2 movies and 3 video games for a total of $ 24 . The next month he rented 4 movies and 8 video games for a total of $

Algebra.Com
Question 1154041: stion

One month Alonzo rented
2
movies and
3
video games for a total of
$
24
. The next month he rented
4
movies and
8
video games for a total of
$
61
. 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 Alonzo 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


.....switch sides





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




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


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

stion
One month Alonzo rented
2
movies and
3
video games for a total of
$
24
. The next month he rented
4
movies and
8
video games for a total of
$
61
. Find the rental cost for each movie and each video game. 
Let the cost of a movie and a video game be M, and V, respectively

Then we get: 2M + 3V = 24 ------- eq (i)

Also, 4M + 8V = 61 ------ eq (ii)

- 4M - 6V = - 48 -------- Multiplying eq (i) by - 2 ------ eq (iii)

2V = 13 ------ Adding eq (iii) & eq (ii)

V, or cost of a video game = 

Substitute 6.5 for V in either eq (i) or (ii) to find the cost of a movie.

That's it!! Nothing as complex as the other person makes it seem. 

RELATED QUESTIONS


rented 2 movies and 
5
 video games for a total of 
$35
. The next month he rented... (answered by Cromlix)

One month Ivanna rented 4 movies and 8 video games for a total of$61 . The next month she  (answered by princessBelle)

One month Reuben rented 4 movies and 8 video games for a total of $61. The next month he... (answered by josgarithmetic)

One month Trey rented 4 movies and 8 video games for a total of $61. The next month he... (answered by ikleyn)

One month Juan rented  movies and  video games for a total of . The next month he rented   (answered by ikleyn,josgarithmetic)

one month Rita rented 3 movies and 2 video games for a total of $24. The next month she... (answered by Cromlix)

One month Ravi rented 
8

movies and 
3

video games for a total of 
$
38

.... (answered by josgarithmetic)

One month Lisa rented 
2
 movies and 
3
 video games for a total of 
$25
 . The... (answered by TimothyLamb,stanbon)

one month diane rented 4 movies and 8 video games for a total of $57. the next month she... (answered by richwmiller)