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A group of 19 people are going to an amusement park. Adult tickets cost $39.50 each and child tickets cost $27.25 each. If the total cost for admission to the park is $652.50, how many adults attended the movie?
Guest Mar 16, 2012
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a = #number of adults
b = #number of childs

Dawn:

A group of 19 people are going to an amusement park


a+b = 19

Dawn:

Adult tickets cost $39.50 each and child tickets cost $27.25 each


a*39.50
b*27.25

Dawn:

If the total cost for admission to the park is $652.50


a*39.50+b*27.25=652.50

[input]solve(19=a+b, a*39.50+b*27.25=652.50)[/input]

solve this two equations by hand:
19=a+b
a=19-b
a*39.50+b*27.25=652.50
(19-b)*39.50+b*27.25=652.50
-b*39.50+b*27.25=652.50
-b*39.50+b*27.25=652.50-19*39.50=-98
b*(-39.50+27.25)=-98
b*(-12.25)=-98
b=-98/(-12.25)=8
=> a=19-b=11

adults: 11
childs: 8

test:
[input]11*39.50+8*27.25[/input]
admin  Mar 17, 2012

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