Question

Shayna's school is selling tickets to a play. On the first day of ticket sales the school sold 13 senior citizen tickets and 13 student tickets for a total of $260. The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets. What is the price each of one senior citizen ticket and one student ticket

Answer 1

The price of one senior citizen ticket is 8$ and one student ticket is 12$.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the price of one senior citizen ticket = x

And the price of one student ticket = y

Given that, on the first day of ticket sales, the school sold 13 senior citizen tickets and 13 student tickets for a total of $260

The school took in $212 on the second day by selling 13 senior citizen tickets and 9 student tickets.

13x +13y = 260

13x + 9y = 212

Subtract the equation  from first

13x +13y - (13x + 9y) = 260 - 212

4y = 48

y = 48/4

y = 12

Substitute the value of y in the equation 13x + 9y = 212

13x + 9(12) = 212

13x + 108 = 212

13x = 212 - 108

13x = 104

x = 104/13

x = 8

Hence, the price of one senior citizen ticket is 8$ and one student ticket is 12$.

Learn more about the equation here:

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