hilton university drama club sold 311 tickets for a play. student tickets cost 50 cents each, nonstudent tickets cost $1.50. if total receipts were 385.50, find how many tickets of each type were sold

X = number of student tickets

Y = number of on student tickets

x+y=311

0.50x + 1.50y = 385.50

Solve x in 1st equation

X+y=311

X = - y + 311

Now substitute x into second equation to solve for y

0.50 (-y+311) + 1.50y = 385.50

-0.50y+311.50+1.50y=385.50

Y+311.50=385.50

Y = 385.50-311.50

Y = 74

Now substitute y answer to first equation to find x

X+y=311

X + 74=311

X = 311-74

X = 237

So 237 students tickets and 74 non students tickets