One month Rafael rented 7 movies and 9 video games for a total of $73. The next month he rented 5 movies and 3 video games for a total of $29. Find the
rental cost for each movie and each video game.

Respuesta :

Answer: The rental cost for each movie is $1.75 and the rental cost of each video game is $6.75.

Step-by-step explanation:

7m + 9g = 73  where m is cost of  movie and g is the cost of video games

5m + 3g  = 29   solve by elimination

  7m + 9g =73

-3(5m + 3g)= 29(-3)

7m  + 9g = 73

-15m -9g= -87

 -8m = -14

m= 1.75    

Substitute the value of m  into the equation   7(1.75) + 9g= 73

                  12.25+ 9g= 73

                  -12.25           -12.25

                  9g=  60.75

     g = 6.75