SOLUTION: Use a system of equations in two variables to solve this problem: A father paid $119 for his family of 7 to spend the day at Magic Waters waterpark. How many tickets did he buy

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Question 328869: Use a system of equations in two variables to solve this problem:
A father paid $119 for his family of 7 to spend the day at Magic Waters waterpark. How many tickets did he buy?
Admission
_________
Adult ticket - $21
Child ticket - $14

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=7 OR A=7-C
21A+14C=119
REPLACE A WITH (7-C) IN THE SECOND EQUATION & SOLVE FOR C.
21(7-C)+14C=119
147-21C+14C=119
-7C=119-147
-7C=-28
C=-28/-4
C=4 CHILDREN.
A=7-4=3 ADULTS.
PROOF:
21*3+14*4=119
63+56=119
119=119