Question

5) The school that Lexy goes to is selling tickets to the annual talent show. On the first day

of ticket sales the school sold 14 adult tickets and 11 student tickets for a total of $128. The
school took in $88 on the second day by selling 14 adult tickets and 1 student ticket. What
is the price of each adult ticket and student ticket?
$6.00 for adult tickets and $4,00 for student tickets
how do you work it out

Answer 1

Adult ticket is $6

Student ticket is $4, as you said.

Explanation:

We'll call adult tickets x and student tix y.

14x + 11y = 128

14x + y = 88

First, solve the second equation for y in terms of x:

y = 88- 14x

Then substitute that for y into the first equation:

14x + 11(88-14x) = 128

14x + 968 - 154x = 128

-140x = -840

x = 6 The adult ticket is $6, like you said.

Now take that and solve for y:

y = 88 - 14(6)

y = 88 - 84

y = 4 The student ticket is $4, as you said.

Hope this helps. Feel free to ask questions so you can understand.