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

#1**0 **

a = #number of adults

b = #number of childs

a+b = 19

a*39.50

b*27.25

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]

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

=>

adults: 11

childs: 8

test:

[input]11*39.50+8*27.25[/input]

admin
Mar 17, 2012