If 123 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $3.25 and total receipts for the concert was $438.25, how many of each went to the concert?

Answer 1

C + A = 123 total people

3.25+ 3.75A = 438.25

multiply 1st equation by 3.25 and subtract from the 2nd equation

3.25 +3.25A = 123(3.25) = 399.75

.5A = 438.5 - 399.75 = 38.5

A = 2(38.5) = 77 adults

C= 123-77 = 46 children

check the answer

3.25(46) + 3.75(77) = 438.25