Question

A total of 54 adults and students show up for the play. Adult tickets cost $8 and kid tickets cost $5 and the total money collected

was $360. How many of each type of ticket were sold?
It’s using substitution or elimination to get a number for kids and adults

Answer 1

30 adult tickets and 24 kid tickets

Explanation:

set up equations

x=adult tickets

y=kid tickets

x(adult tickets)+y(kid tickets)=54(people in total)

x+y=54

$8x+$5y=$360

$8 per ticket for adults

$5 per ticket for kids

total of $360 earned

8x+5y=360

↓

x+y=54

8x+5y=360

solve by elimination or substitution or even graph to get

(x,y)=(30,24)

x=30

y=24