SOLUTION: A theatre contains 459 seats and the ticket prices for a recent play were $53 for adults and $16 for children. If the total proceeds were $13,930 for a sold out matinee, how many o

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Question 1066344: A theatre contains 459 seats and the ticket prices for a recent play were $53 for adults and $16 for children. If the total proceeds were $13,930 for a sold out matinee, how many of each type of ticket were sold?
Adult tickets was=
Children tickets was=
Answer by Bay0913(3) About Me  (Show Source):
You can put this solution on YOUR website!
alright, so we have two variables, tickets for children and tickets for adults.
Set up the variables.
Children---> 16x
Adult--->53y
x+y=459
16x+53y=13,930
do Substitution
x=459-y
plug it in the second equation
16(459-y)+53y=13930
7344-16y+53y=13930
7344+37y=13930
6586=37y
y=178
x+178=459
x=281
281 Children Tickets
178 Adult Tickets