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Dmitry [639]
3 years ago
9

John rented 8 movies and 3 video games totalling $51. Another month He rented 2 movies and 5 video games totalling $34. What's t

hw cost foe wach movie and video game?​
Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0

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

<em><u>Solution:</u></em>

Let "m" be the cost of 1 movie

Let "v" be the cost of 1 video game

<em><u>John rented 8 movies and 3 video games totaling $51</u></em>

Therefore, we can frame a equation as:

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

8 \times m + 3 \times v = 51

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

<em><u>Another month He rented 2 movies and 5 video games totalling $34</u></em>

Therefore, we can frame a equation as:

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

2 \times m + 5 \times v = 34

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

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 2 by 4

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

<em><u>Subtract eqn 1 from eqn 3</u></em>

8m + 20v = 136

8m + 3v = 51

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

17v = 136 - 51

17v = 85

<h3>v = 5</h3>

<em><u>Substitute v = 5 in eqn 1</u></em>

8m + 3(5) = 51

8m + 15 = 51

8m = 36

<h3>m = 4.5</h3>

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

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