Question

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 9 rows of the same length, he has 5 chairs left over. If he arranges the chairs in 7 rows of that same length, he has 15 left over. How many chairs does Liam have?

Answer 1

50 Chairs

Explanation:

To solve this we can make two equations to represent each situation-

9x + 5 = 7x + 15

Now we cancel 7x from each side

9x + 5 - 7x = 7x + 15 - 7x

2x + 5 = 15

Now we cancel 5 from each side!

2x + 5 - 5 = 15 - 5

2x = 10, x = 5

So we plug in the value into the equations, and get:

50 chairs

Hope this helps!!