Question

One month Maya rented 2 movies and 5 video games for a total of $32. The next month she rented 8 movies and 3 video games for a total of $43. Find the rental cost for each movie and each video game.

Answer 1

Answer: The rental cost for each movie is $3.5 and each video game is $5.

Explanation:

Let x= rental cost for each movie

y = rental cost for each movie video game.

As per given,

2x+5y = 32 (i)

8x+3y=43 (ii)

Multiply 4 on both sides of equation (i)

8x+20y = 128 (iii)

Eliminate (ii) from (iii)

17y=85

⇒ y = 5 [divide both sides by 17]

Put this in (i)

2x+5(5)=32

⇒ 2x+25= 32

⇒ 2x= 7

⇒ x = 3.5 [divide both sides by 2]

Hence, the rental cost for each movie is $3.5 and each video game is $5.