Question

29) The school that Eugene goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 7 senior citizen tickets and 6 child tickets for a total of $119. The school took in $86 on the second day by selling 4 senior citizen tickets and 6 child tickets.
Find the price of a senior citizen ticket and the price of a child ticket.

A) senior citizen ticket: $8, child ticket: $9

B ) senior citizen ticket: $11, child ticket: $7

C) senior citizen ticket: $14, child ticket: $5

D) senior citizen ticket: $10, child ticket: $3

Answer 1

Answer:

Option B.

The price of a senior citizen ticket is $11 and the price of a child ticket. is $7

Step-by-step explanation:

Let

x ----> the price of a senior citizen ticket

y ---> the price of a child ticket.

we know that

First day

$7x+6y=119$ -----> equation A

Second day

$4x+6y=86$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (11,7)

therefore

The price of a senior citizen ticket is $11 and the price of a child ticket. is $7