Question

Three types of tickets for a football game are​ available: sidelines,​ goal-view, and​ upper-deck. The sidelines tickets cost ​$25 more than the​ goal-view tickets and ​$50 more than the upper deck tickets. The​ goal-view tickets cost ​$13 less than twice the cost of the​ upper-deck tickets. Determine the price of each type of ticket.

Answer 1

Upper deck = $38

Goal View = $63

Sidelines = $88

Explanation:

Represent

- Sidelines with S

- Goal-view with G

- Upper-deck with U

We have that:

`S = 25 + G`

`S = 50 + U`

`G = 2U - 13`

Required

Solve for S, G and U

Substitute 25 + G for S in the second equation

`25 + G = 50 + U`

Make G the subject

`G = 50 -25+ U`

`G = 25+ U`

Substitute 25 + U for G in the third equation

`25 + U = 2U - 13`

Collect Like Terms

`U - 2U = -13 - 25`

`-U = -38`

`U = 38`

Substitute 38 for U in
`G = 25+ U`

`G = 25 + 38`

`G =63`

Substitute 63 for G in
`S = 25 + G`

`S = 25 + 63`

`S = 88`