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

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system