if 121 people attend a concert and tickets for adults cost $3.25 while tickets for children cost $2.75 and total receipts for the concert was $356.25 , how many of each went to the comcert ?

Answer 1

Let a = number of adults and c = number of children. That creates two equations

1) 3.25a + 2.75c = 356.25

2) a + c = 121

Rearrange the second equation to be a = 121 - c and plug into the first equation to get

3.25(121 - c) + 2.75c = 356.25

393.25 - 3.25c + 2.75c = 356.25

0.5c = 37

c = 74, a = 47