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?

Question

Kalan

Mathematics

3 March, 18:57

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?

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Answers (1)

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Pudge · 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