Liam is setting up folding chairs for a meeting. If he arranges the chairs in 6 rows of the same length, he
has 7 chairs left over. If he arranges the chairs in 4 rows of that same length, he has 13 left over. How many
chairs does Liam have?
We will need to have two equations here, having x as the missing length. We know that the chairs are in the same amount on each occasion, so each equation should be equal to the other.
This sets up a problem of:
6x + 7 = 4x + 13
7 and 13 being the leftover chairs and 6 and 4 being the rows. Let’s solve for x.
x = 3
Knowing this, we plug in x for one of the equations