Question

At a high school championship game 1200 tickets were sold. Student tickets cost $1.50 each and adult tickets cost $5.00 each. The total revenue collected for the game was $3200. How many of each ticket were sold for the game?

Answer 1

Students= 800

Adults= 400

Explanation:

Given data

number of tickets= 1200

let students be x

and adults be y

x+y= 1200--------------------1

'

The total revenue collected for the game was $3200

so

1.5x+5y=3200-------------2

Solve 1 and 2 for x and y

x= 1200-y

put this is 2

1.5( 1200-y)+5y=3200-------------2

1800-1.5y+5y= 3200

3.5y= 3200-1800

3.5y=1400

Divide both sides by 3.5

y= 1400/3.5

y=400

Put y= 400 in 1

x+400= 1200

x= 1200-400

x=800