Question

Jacob buys 6 game tickets and 3 ride tickets at a carnival for $39. Emily buys 2 game tickets and 2 ride tickets for $18. Find the cost of a game ticket and the cost of a ride ticket at the carnival. Set up and solve a system of equations.

Your answer:

Answer 1

Cost of ride ticket = $5

Cost of game ticket = $4

Explanation:

Given that:

Let ;

game ticket = g

Ride ticket = r

Jacob :

6g + 3r = 39 - - - (1)

Emily :

2g + 2r = 18 - - - - (2)

Divide (2) b y 2

g + r = 9 - - - - (3)

From (3)

g = 9 - r

Substitute ; g = 9 - r into (1)

6(9 - r) + 3r = 39

54 - 6r + 3r = 39

54 - 3r = 39

-3r = 39 - 54

-3r = - 15

r = 5

Put r = 5 in (g = 9 - r)

g = 9 - 5

g = 4

Hence,

Cost of ride ticket = $5

Cost of game ticket = $4