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The school that Molly goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 10 adult tickets and 10 student tickets for a total of $260. The school took in $94 on the second day by selling 5 adult tickets and 2 student tickets. Write and solve a system of linear equations to find the price of an adult ticket and the price of a student ticket.

Sagot :

Answer:

Student ticket: $12, Adult ticket: $14

Equations: 260=10x+10y, 94=2x+5y

Step-by-step explanation:

Set adult tickets as y

Set student tickets as x

First day: Total made is 260 so set that equal to 10x + 10y

--> 260=10x+10y

Second day: Total made is 94 so set that equal to 2x + 5y

--> 94=2x+5y

I find it easier to have simplified terms so simplify (divide by 2) the first equation to get: 130=5x+5y

All you have to do now is solve for the two variables.

94=2x+5y - (130=5x+5y) --> x=12, y=14

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