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

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

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