Question

PLEASE HELP!!!!! Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $75. For one performance, 20 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $2100. What was the price of each kind of ticket?

Answer 1

Answer:

The answer to your question is Advance = $35 and same-day = $40

Step-by-step explanation:

Advanced = a

Same-day = s

Equations

                       a +     s  = 75               ----- (I)

                  20a + 35s = 2100            ----- (II)

Process

1.- Solve the equations by elimination.

Multiply equation I by -20

                     -20a - 20s = -1500

                      20a + 35s = 2100

Simplify

                        0   + 15s = 600

Solve for s                  s = 600/15

                                    s = $ 40        

Substitute "s" in equation I to find "a"

                       a   +   40  = 75

Solve for a

                       a    = 75  - 40

                       a = 35