Question

Find the number if 5.5% of it is 17% of 11

Answer 1

Explanation:

First we must find 17% of 11.

0.17 x 11 = 1.87

So we know 5.5% of "a number" or "x" is equal to 1.87

0.055x = 1.87

x = 1.87/0.055

x = 34

Answer 2

The number is 34.

Explanation:

Let the number be x.

As per the statement: if 5.5% of it is 17% of 11.

⇒ 5.5% of x is 17% of 11.

"5.5%of x" means
`(5.5)/(100) * x`

"17% of 11" means
`(17)/(100) * 11`

then;

`(5.5x)/(100) = (17 * 11)/(100)`

Multiply by 100 on both sides, we get;

`(5.5x)/(100) * 100 = (17 * 11)/(100) * 100`

Simplify:

`5.5x = 187`

Divide both sides by 5.5 , we get;

`(5.5x)/(5.5) = (187)/(5.5)`

Simplify:

x = 34

Therefore, the number is 34.