# Tickets for a basketball tournament were 240 pesos for students and 360 pesos for nonstudents. Total sales were 42,000 pesos, and 250 more student tickets were sold than nonstudent tikets. How many of each type were sold?

1
by deshnylrhedlys

2014-10-07T20:25:29+08:00
Let x be the number of students
y be the number of non-students
since the ticket costs 240 for students and 360 for non and the total sales is 42,000 then you'll have the equation as:
240x + 360y = 42,000   ----equation 1
since you're provided with the data that there 250 more student tickets then you'll have
x = y + 250  ----equation 2
substituting equation 2 to equation 1
240x + 360y = 42,000
240(y+250) + 360y = 42,000
240y + 60000 + 360y = 42,000
240y + 360y = 42,000 - 60,000
600y = -18,000
y = -30
substitute to equation 2
x = -30 + 250
x = -30 + 250
x = 220
x and y are 220 and -30 respectively.. might as well check your given data since it should have been that both x and y are of positive values since this deals with the number of persons.. but based on the given data above 220 and -30 are the values