Question

The school that Eduardo goes to is selling tickets to a fall musical. On the first day of ticket salesthe school sold 3 adult tickets and 7 student tickets for a total of $81. The school took in $94 onthe second day by selling 4 adult tickets and 7 student tickets. Find the price of an adult ticketand the price of a student ticket.A) adult ticket: $6, student ticket: $13B) adult ticket: $13, student ticket: $6C) adult ticket: $17, student ticket: $9D) adult ticket: $19, student ticket: $8

Answer 1

Answer: B) adult ticket: $13, student ticket: $6

Explanation:

Let adults tickets be written as a

Let student tickets be written as s

We then use the information given in the question to form equation. This will be:

3a + 7s = 81 .......... equation i

4a + 7s = 94 .......... equation ii

Subtract equation i from ii

a = 13

Adult tickets cost $13

From equation i

3a + 7s = 81

We put the value of a = 13

3(13) + 7s = 81

39 + 7s = 81

7s = 81 - 39

7s = 42

s = 42/7

s = 6

Students ticket cost $6