SOLUTION: At a movie theater, tickets cost 9.50 for adults and 6.50 for children . A group of 7 moviegoers pays a total of 54.50. How many adults and how many children are in the group.

Algebra.Com
Question 295109: At a movie theater, tickets cost 9.50 for adults and 6.50 for children . A group of 7 moviegoers pays a total of 54.50. How many adults and how many children are in the group.
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
a+c=7 c=7-a
9.5a+6.5c=54.5
9.5a+6.5(7-a)=54.5
9.5a+45.5-6.5a=54.5
3a=9
a=3
c=7-3
c=4
--------------
3*9.5+4*6.5=54.5
28.5+26=54.5

RELATED QUESTIONS

On weekdays, a movie theater charges different rates for adults and children. If 3 adults (answered by Boreal,rothauserc)
On weekdays, a movie theater charges different rates for adults and children. If 3... (answered by stanbon)
A movie theater charges $9 for an adult’s ticket, $7 for a senior ticket and $6 for a... (answered by josgarithmetic,ikleyn)
Movie tickets at a local theater cost $6 for adults and $2 for children under 12. If 175... (answered by sachi,josmiceli)
admission to a movie theater is $7 for adults and $5 for children. 200 tickets were sold... (answered by htmentor)
A movie theater has 2 ticket prices: 11$ for adults and 6$ for children. On a certain... (answered by wilft1)
I need help with these two word problems. I can not figure them out. 1. Adult tickets (answered by piyu)
A group of 14 people spent $28 for admission tickets to Cinema Uno. The theater charges... (answered by greenestamps)
tickets to a local movie were sold at $6 for adults & $.50 for students. If 270 tickets... (answered by scott8148)