Question

Hue is arranging chairs. She can form 2 rows of a given length with 5 chairs left over, or 6 rows of that
same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in
that row length. In your equation, use the variable x to represent the number of chairs in each row.
The equation is
There are
chairs in each row.

Answer 1

Question :

Hue is arranging chairs. She can form 2 rows of a given length with 5 chairs left over, or 6 rows of that

same length if she gets 11 more chairs. Complete the equation and solve it to find how many chairs are in

that row length. In your equation, use the variable x to represent the number of chairs in each row.

The equation is

There are

chairs in each row.

Given :

1. there are 2 rows of given length with 5 chairs left over.
2. 6 rows of the same length if given 11 more chairs

Assumption :

Let, no. of chairs in each row = x

Explanation :

There are 2 rows of given length with 5 chairs left over.

6 rows of the same length if given 11 more chairs 2x+5 will be equal to 6x

If 11 chairs are added to 2x+5 because 6x has 11 more chairs than 2x+5

=> 2x+5+11 = 6x

=> 2x+16 = 6x

=> 4x = 16

=> x = 16/4

=> x = 4

Answer :

x=4 chairs in each row with 5 left over makes 2*4+5 = 13 chairs

add 11 chairs to 13 chairs and you get 24 chairs which is 6 rows of 4 chairs in each row.

Required Equations :

1. 2x+5
2. 2x+5+11 = 6x

HOPE IT HELPS