Question

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 3 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 19 left over. How many chairs does Liam have?

Answer 1

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