kadinmorgan
contestada

PLEASE SHOW WORK
A local group is selling tickets to an event. The event will occur 2 different weekends. The group sold 85 regular tickets and 24 senior citizen tickets the first weekend and made $994. They only sold 45 regular tickets and 12 senior citizen tickets the second weekend and made $522. Find the price of a regular ticket and the price of a senior citizen ticket.

Respuesta :

jcherry99

Answer:

S = 6

R = 10

Step-by-step explanation:

Givens

Let the Regular Tickets be R

Let the Senior Citizen tickets be S

Equations

85r + 24s = 994    (1)

45r + 12s = 522     (2)

Solution

Multiply equation 2 by 2

  • 2(45r + 12s = 522)
  • 90r + 24s = 1044        Subtract (1)
  • 85r + 24s = 994
  • 5r = 50                        Divide by 5
  • 5r/5 = 50/5                 Do the division
  • r = 10

======================

Solve for s

  • 45r + 12s = 522                    Substitute r = 10
  • 45*10 + 12s= 522                 Simplify the left
  • 450 + 12s = 522                   Subtract 450  from both sides
  • 450-450 + 12s = 522-450   Simplify
  • 12S= 72                                  Divide by 12
  • 12S/12 = 72                            Do the division
  • S = 6  


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