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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

Respuesta :

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



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