Math question Algebra

Question

If 116 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $1.5 and total receipts for the concert was $276, how many of each went to the concert?

___Adults

___Children

Answer 1

Let x = number of adults and y = number of children

x + y = 116

3.5x + 1.5y = 276

3.5x + 1.5(116 - x) = 276

2x = 102

So, x = 51 and y = 116 - 51 = 65

There were 51adults and 65 children in attendance.

Answer 2

3.5x+1.5y=276

x+y=116

3.5x+.42857x=276

3.92857x=276

x=70.2545.........

245.89 adults

30.11 kids