Question

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he has 3 chairs left over. If he arranges the chairs in 4 rows of that same length, he has 15 left over. How many chairs does Liam have?
PLEASE HELP ME

Answer 1

If he has 9 rows of equal length there are 3 chairs left over.

If he has 7 rows of same length there are 19 left over.

It's important to note that these two setups have the same number of chairs. So we can make an equation out of it.

9x + 3 = 7x +19

2x + 3 = 19

2x = 16

x = 8

So, x (8) is the number of chairs in each row with these setups.

Plug 8 into one of the equations and you will find how many chairs total there are.

9(8) + 3 = 75

There are 75 chairs total