Question

A carnival game charges different prices for adults and children to play. Kids tickets are two dollars and adult tickets are five dollars. The carnival sold 36 tickets to this game and collected $135. Set up a system of equations that can be used to solve for the number of adult and children tickets sold for this game

Answer 1

kids= 15

adults= 21

Explanation:

Step one

let the number of kids be x

and adults be y

Kids tickets are two dollars and adult tickets are five dollars

The carnival sold 36 tickets to this game and collected $135

so the system of the equation is

2x+5y=135----------1

x+y=36---------------2

from 2 x= 36-y

put x= 36-y in 1

2( 36-y)+5y=135

72-2y+5y=135

collect like terms

3y=135-72

3y=63

divide both sides by 3

y= 63/3

y=21

put y= 21 in 2

x+21= 36

x=36-21

x=15