Question

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?

Answer 1

Answer:

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