Question 301
When solving word problems, it is preferably easier to change unknown values to any letter, but I like "x" best!



1. 6 is ____% of 20.

<u>Solution</u>
Question becomes;
6 is x% of 20.

Next, we represent "is" with "=", "%" with "/100" and "of" with "X" i.e;
{{{6 = (x/100) * 20.}}}

Next, we re-arrange properly, i.e;

{{{6 = (x * 20)/100}}}<br />
{{{6 = (20x)/100}}}

Cross multiply:
{{{600 = 20x}}}

Divide both sides by 20:
{{{600/20 = 20x/20}}}<br />
{{{30 = x}}}
therefore, x = 30!
Recall the question;
6 = x% of 20

From solution, x = 30 so,
6 = 30% of 20


2. 10% of 20 is _______.

<u>Solution</u>
As before, replace dash with x;
10% of 20 is x.

Now represent values as before;
{{{(10/100) * 20 = x}}}<br />
{{{(20*10)/100 = x}}}<br />
{{{(200/100) = x}}}<br />
{{{2 = x}}}
{{{therefore, x = 2}}}

Recall Question;
10% of 20 is x

From solution, x=2 so,
10% of 20 is 2.


I only made it elaborate so it would be very explanatory. Hope it helped.