Question

A concert charges $24.50 per daily adult ticket and $13.75 per child’s ticket. A group of 90 people paid $1560.00 for tickets. Write a system of equations that could be used to find x, the number of adult tickets purchased, and y, the number of children's tickets purchased?
I know the answer i just need to know how to solve it. Thanks :)

Answer 1

X=adults
y=childern

x+y=90
24.50x+13.75y=1560

so
mutliply the first equation by -13.75 and add to second equaiton

-13.75x-13.75y=-1237.5
24.50x+13.75y=1560 +
10.75x+0y=323

10.75x=322.5
divide both sides by 10.75
x=30

x=30
sub back

x+y=90
30+y=90
minus 30 both sides
y=60


x=30
y=60
30 adults
60 kids