SOLUTION: The Jurassic zoo charges $14 for each adult admission and $8 for each child. The total bill for the 109 people from a school trip was $1004. How many adults and how many children w

Algebra ->  Finance -> SOLUTION: The Jurassic zoo charges $14 for each adult admission and $8 for each child. The total bill for the 109 people from a school trip was $1004. How many adults and how many children w      Log On


   

Question 1065104: The Jurassic zoo charges $14 for each adult admission and $8 for each child. The total bill for the 109 people from a school trip was $1004. How many adults and how many children went to the zoo?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x children
y adults
system%288x%2B14y=1004%2Cx%2By=109%29


system%284x%2B7y=502%2Cx%2By=109%29
Multiply both sides of ticket count equation by 4.

system%284x%2B7y=502%2C4x%2B4y=436%29


-
Subtract second equation from first equation to eliminate x and solve for y.
3y=66
highlight%28y=22%29---------use either equation to find x.