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Sagot :
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
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
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