Tickets for a event were $2.00 for students and $3.75 for parents. If a total of 71 tickets were sold for $198.00, how many tickets sold

Question

word problem

Answer 1

Let s = students and a = adults. Here's what we know:

a + s = 71 (71 tickets in total were sold)

3.75a + 2s = 198 (Total ticket proceeds equals 198)

 

I'm going to solve this problem through elimination by multiplying the first equation by -2:

 -2a  -  2s = -142

3.75a + 2s = 198

----------------------

1.75a = 56

 

Divide by 1.75:

a = 32

 

Now we can find the number of students:

32 + s = 71

s = 39

 

check:

3.75 * 32 + 2 * 39 = 198

120 + 78 = 198

198 = 198