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Brenda’s school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. On the second day the school took in $67 by selling 8 senior citizen tickets and 5 child tickets. What is the price of each of the senior and child tickets.

1. Write the linear system:

Let x = senior citizen tickets

Let y = child tickets

Equation for day one:
Equation for day two:


2. Which method will you be using to solve the system? (graphing, substitution, or elimination)

Answer :

vunderkid
1. 
{3x+9y=75
{8x+5y=67
2. elmination
{24x+72y=600
-
{24x+15y=201
57y=399
y=7
8x=67-35
x=4
Senior citizen ticket cost $4
child ticket cost $7

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