The school production of 'Our Town' was a big success. For opening night, 501 tickets were sold. Students paid $3.00 each, while non-students paid $5.00 each. If a total of $ 1767.00 was collected, how many students and how many non-students attended?

no of students are 369

and no of non students are 132

Explanation:

given data

ticket sold = 501

student paid = $3

non students paid = $5

total collection = $ 1767

to find out

how many students and how many non-students attended

solution

we consider here no of students = x

and no of non students = y

so we can say that

x + y = 501 ... 1

y = 501 - x ... 2

and paid by students then equation will be

3x + 5y = 1767 ... 3

put value 2 equation in equation 3

3x + 5 (501 - x) = 1767

3x + 2505 - 5x = 1767

-2x + 2505 = 1767

x = 369

so y will be y = 501 - 369

y = 132

so no of students is 369

and no of non students is 132