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.

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 = 9945r = 50                        Divide by 55r/5 = 50/5                 Do the divisionr = 10

Solve for s

45r + 12s = 522                    Substitute r = 1045*10 + 12s= 522                 Simplify the left450 + 12s = 522                   Subtract 450  from both sides450-450 + 12s = 522-450   Simplify12S= 72                                  Divide by 1212S/12 = 72                            Do the divisionS = 6