How many students attended the party?

Question

the number of students that attended was 150 more than thr number of adults. student tickets cost $3 and adult tickets cost $5. a total of $4730 was collected.

Answer 1

Let S = # of Students and A = # of Adults

 

S = A + 150

4730 = 3*S + 5*A

 

Substitute S into second equation:

4730 = 3*(A+150) + 5*A

 

Solve for A:

4730 = 3*A + 450 + 5*A

4280 = 8*A

A = 535 Adults

 

Solve for S:

S = A + 150 = 535 + 150 = 685 students