Question

Jeffrey set up chairs for a meeting.

First, he arranged the chairs in 9 equal
rows but had 3 chairs left over. Then,
he arranged the chairs in 7 equal rows
but had 19 chairs left over. Which
equation could be used to find the
total number of chairs Jeffrey had?
A 9x + 3 = 7x + 19
B 9x + 7x = 3 + 19
C 9x - 3 = 7x - 19
D 9x + 7x = 3 x 19

Answer 1

9x + 3 = 7x + 19

Explanation:

Given that,

Jeffrey set up chairs for a meeting.

He arranged the chairs in 9 equal rows but had 3 chairs left over.

Let x be the number of chairs. So,

9x+3 .....(1)

Then he arranged the chairs in 7 equal rows but had 19 chairs left over. So,

7x+19 ......(2)

From equation (1) and (2),

9x+3 = 7x+19

9x-7x = 19-3

2x = 16

x = 8

Hence, the correct option is (b).