word problem

Question

prices for the movie are $4 for children and $8 for adults. The total amount of ticket sales was $1,176. there were 172 tickets sold. how many adults and children bought tickets

Answer 1

a + c = 172

4c + 8a = 1176

 

 First, let's solve the 1st equation for a.

 

a = 172 - c

 

Now, 172 - c can be used in the place of a, since they are equal.

 

4c + 8(172 - c) = 1176

4c + 1376 - 8c = 1176

-4c = -200

c = 50

 

a = 172 - 50

a = 122