Question

There are x benches and y students in an auditorium. When a bench is seated with 3 students, 18 are left standing. If a bench is seated with 4 students, 3 benches would be empty.

a. Write 2 equations showing the relationship between x benches and y students
b. Find the number of benches and students

Answer 1

x- benches, y-students
y=3x+18
x-3=y/4

Answer 2

Thanks, what about b?

Answer 3

you need to try to solve it by yourself :-) I will help you if you will need it.

Answer 4

Well alright, no prob there, thanks for the help again

Answer 5

you are welcome. Do you understand it?

Answer 6

Kind of, think I could figure it out by myself though

Answer 7

y=3x+18
y=4(x-3) right parts are equal and you can find x

Answer 8

Yep, I get it

Answer 9

answer is?

Answer 10

one sec

Answer 11

x=30 right?

Answer 12

yes

Answer 13

so y=108

Answer 14

yes, you are right. With system of equations always good to do check for both equations.

Answer 15

Sweet

Answer 16

glad to help

Answer 17

x- benches,
y-students
y=3x+18 x-3=y/4
y=3x+18 y=4(x-3)
x = 30
y = 108