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One month Kevin rented 6 movies and 2 video games for a total of $30. The next month he rented 3 movies and 5 video games for a total of $36. Find the rental cost for each movie and each video game.

 Feb 26, 2020
 #1
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Let  M  be the cost  of 1 movie  and  V  the cost of 1 video game....we have this system

 

6M + 2V  = 30  

3M + 5V  = 36

 

Divide  the first equation through by  2   and we get that    3M + V   = 15

So

V  = 15 - 3M   

Sub this into the second equation

 

3M  + 5( 15  -3M)  = 36   simplify

 

3M  + 75  - 15M   = 36

 

-12M + 75  = 36   subtract75 from both sides

 

-12M =  -39    divide both sides  by  -12

 

M =  39/12 =  13/4  = 3 + 1/4  =  3.25  =  cost of a   movie

 

And

 

V = 15 - 3 (3.25)  =  15 - 9.75 = 5.25   = cost of a video game

 

 

cool cool cool 

 Feb 26, 2020

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