Question

John rented 8 movies and 3 video games totalling $51. Another month He rented 2 movies and 5 video games totalling $34. What's thw cost foe wach movie and video game?​

Answer 1

Cost of 1 video game is $ 5 and cost of 1 movie is $ 4.5

Solution:

Let "m" be the cost of 1 movie

Let "v" be the cost of 1 video game

John rented 8 movies and 3 video games totaling $51

Therefore, we can frame a equation as:

8 x cost of 1 movie + 3 x cost of 1 video game = 51

`8 * m + 3 * v = 51`

8m + 3v = 51 ------- eqn 1

Another month He rented 2 movies and 5 video games totalling $34

Therefore, we can frame a equation as:

2 x cost of 1 movie + 5 x cost of 1 video game = 34

`2 * m + 5 * v = 34`

2m + 5v = 34 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 4

8m + 20v = 136 ------- eqn 3

Subtract eqn 1 from eqn 3

8m + 20v = 136

8m + 3v = 51

( - ) -------------------

17v = 136 - 51

17v = 85

v = 5

Substitute v = 5 in eqn 1

8m + 3(5) = 51

8m + 15 = 51

8m = 36

m = 4.5

Thus cost of 1 video game is $ 5 and cost of 1 movie is $ 4.5