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 the same length, he has 19 left over. How many chairs does Liam have?

Answer 1

n=number of chairs in each row

amount he has at first=9 tiems n+reminder (3) or 9n+3

the 2nd times, he has 7 rows and reminder 19 so 7n+19

same amount of chair throught so
9n+3=7n+19
minus 7 both sides
2n+3=19
minus 3 both sides
2n=16
divide both sides by 2
n=8

total he has is 9n+3=9(8)+3=72+3=75

he has 75 chairs

Answer 2

9n+3=7n+19, 9n-7n=19-3, 2n=16, n=8.
check it
72+3=75chairs

56+19=75chairs