Question

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 7 rows of the same length, he has 3 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 19 left over. How many chairs does Liam have?

Answer 1

59

Step-by-step explanation:

Let x = length of the rows

we can derive two equations from this question

1. 7x + 3

2. 5x + 19

Since the number of chairs are equal in the two equations :

7x + 3 = 5x + 19

solve for x

2x = 16

x = 8

Substitute for x in either equations

7(8) + 3 = 59

5(8) + 19 = 59