Middle School

The school that Eugene attends 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. On the second day, the school took in $86 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 :

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

[tex]7x+6y=119[/tex] -----> equation A

Second day

[tex]4x+6y=86[/tex] ----> 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

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