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. 
<pre>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 = {{{highlight_green(matrix(1,3, 13/2, "=", "$6.50"))}}}
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.