Question

11. Jimmy bought some used video games and used movies at the Movie Barn. He bought a total of 15 items and spent $106 in all, not including tax. Each used video game cost $10 and each used movie
cost $6. How many of each item did he buy?

Answer 1

Answer:

Used Video game = x = 11

Used movie = y = 4

Step-by-step explanation:

Let

Used Video game = x

Used movie = y

x + y = 15 (1)

10x + 6y = 106 (2)

From 1

x = 15 - y

Substitute x = 15 - y into (2)

10x + 6y = 106

10(15 - y) + 6y = 106

150 - 10y + 6y = 106

-10y + 6y = 106 - 150

- 4y = -44

Divide both sides by -4

y = -44/-4

= 11

y = 11

Substitute y = 11 into (1)

x + y = 15

x + 11 = 15

x = 15 - 11

= 4

x = 4

Used Video game = x = 11

Used movie = y = 4