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

Answer:

Upper deck = $38

Goal View = $63

Sidelines = $88

Step-by-step 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 $S = 25 + G$

$S = 25 + 63$

$S = 88$