Question

Hue is arranging chairs. She can form 6 rows of a given length with 3 chairs left over, or

8 rows of that same length if she gets 11 more chairs. Write and solve an equation to
find how many chairs are in that row length.

Answer 1

There are 7 chairs in each row length.

Explanation:

Let number of chairs in 1 row be 'x'.

Let total number of chairs be 'y'.

Given:

Hue can form 6 rows of a given length with 3 chairs left over.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 6 plus number of chairs which is left which is 3.

Framing in equation form we get.

Also Given:

Hue can form 8 rows of that same length if she gets 11 more chairs.

It means that Total number of chairs is equal to chairs in 1 rows multiplied by number of rows which is 8 minus number of chairs which is required more which is 11.

Framing in equation form we get.

From equation 1 and equation 2 we can say that L.H.S is same.

So according to law of transitivity we get;

Combining like terms we get;

Using Subtraction and Addition property we get;

Now Using Division Property we will divide both side by 2.