SOLUTION: A group of people went to the movies. The price was $8 for Adults and $5 for Children. The total cost for 11 people was $67. How many adults and children went to the movies? (W

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A group of people went to the movies. The price was $8 for Adults and $5 for Children. The total cost for 11 people was $67. How many adults and children went to the movies? (W      Log On


   

Question 529926: A group of people went to the movies. The price was $8 for Adults and $5 for Children. The total cost for 11 people was $67. How many adults and children went to the movies? (Write an equation(s) to solve the problem and show the steps to solve the problem.)
Answer by boilpoil(127) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of adults
Then (11-x) be the number of children
8x%2B5%2811-x%29=67 ---8x represent the amount of money paid by adults, and 5(11-x) represent amount of money paid by children, if you add them they would equal to the total paid amount 67.
8x%2B55-5x=67 ---Multiplying 5 into 11-x
3x=12 ---Joined like terms and moved term
x=4%28adults%29 ---Divide 12 and 3x by 3
Number of children
=11-4
=7(children)