Question

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

Answer 1

Answer:

Step-by-step 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

Answer:

The number is 34.

Step-by-step 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 $\frac{5.5}{100} \times x$

"17% of 11" means $\frac{17}{100} \times 11$

then;

$\frac{5.5x}{100} = \frac{17 \times 11}{100}$

Multiply by 100 on both sides, we get;

$\frac{5.5x}{100} \times 100 = \frac{17 \times 11}{100} \times 100$

Simplify:

$5.5x = 187$

Divide both sides by 5.5 , we get;

$\frac{5.5x}{5.5} = \frac{187}{5.5}$

Simplify:

x = 34

Therefore, the number is 34.