Question

Determine the equations you would use to represent the situation.

You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?

Answer 1

You sold 20 student tickets.

Explanation:

Given that:

Total tickets sold = 27

Total amount collected = $170

Cost of student ticket = $5

Cost of adult ticket = $10

Let,

x be the number of students tickets sold

y be the number of adult tickets sold

x+y = 27 Eqn 1

5x+10y=170 Eqn 2

Multiplying Eqn 1 by 10

10(x+y=27)

10x+10y=270 Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(5x+10y)=270-170

10x+10y-5x-10y=100

5x=100

Dividing both sides by 5

`(5x)/(5)=(100)/(5)\\x=20`

Hence,

You sold 20 student tickets.