+0  
 
0
493
1
avatar
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
avatar+3077 
0
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

8 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.