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 [tex]\frac{5.5}{100} \times x[/tex]
"17% of 11" means [tex]\frac{17}{100} \times 11[/tex]
then;
[tex]\frac{5.5x}{100} = \frac{17 \times 11}{100}[/tex]
Multiply by 100 on both sides, we get;
[tex]\frac{5.5x}{100} \times 100 = \frac{17 \times 11}{100} \times 100[/tex]
Simplify:
[tex]5.5x = 187[/tex]
Divide both sides by 5.5 , we get;
[tex]\frac{5.5x}{5.5} = \frac{187}{5.5}[/tex]
Simplify:
x = 34
Therefore, the number is 34.
