Question

The school of “Our Town” was a big success. For opening night, 356 tickets were sold. Students paid $3.00 each, while non-students paid $5.00 each. If of 1348.00 was collected, how many students and how many non-students attended ?

Answer 1

y=140

x=216

Explanation:

y=non-students, x=students

x+y=356

3x+5y=1348

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-3(x+y=356)

3x+5y=1348

-3x-3y=-1068

3x+5y=1348

-3x and 3x cross out because they are opposites and equal to 0. then add -3y + 5y which gives you 2y. then add -1068+1348=which gives you 280. you are left with

2y=280

divide both sides by two to get rid of the 2 on the left side of the equation because we are trying to find y (non-students) that gives you 140. so y=140 then substitute 140 into x+y=356

x+(140)=356

subtract 140 on both sides and your answer is 216 so x=216.

x=216; students

y=140; non-students