SOLUTION: Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $5 for children. One hundred twenty-seven adults and children attended, and $839 was made in tick

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $5 for children. One hundred twenty-seven adults and children attended, and $839 was made in tick      Log On


   

Question 675187: Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $5 for children. One hundred twenty-seven adults and children attended, and $839 was made in ticket sales. How many children and how many adults went to the film premiere?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
7A+5C=839
A+C=127 OR A=127-C REPLACE A IN THE FIRST EQUATION.
7(127-C)+5C=839
889-7C+5C=839
-2C=839-889
-2C=-50
C=-50/-2
C=25 CHILDREN.
A+25=127
A=127-25
A=102 ADULTS.
PROOF:
7*102+5*25=839
714+125=839
839=839