SOLUTION: How do you arrive at an answer when a math question is worded as follows? 1. 6 is _30___________% of 20. 2. 10% of 20 is _______2_____.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: How do you arrive at an answer when a math question is worded as follows? 1. 6 is _30___________% of 20. 2. 10% of 20 is _______2_____.      Log On


   



Question 301: How do you arrive at an answer when a math question is worded as follows?
1. 6 is _30___________% of 20.
2. 10% of 20 is _______2_____.

Found 4 solutions by AnlytcPhil, Windym37, Okeke_Christian, Tanzina ahamed:
Answer by AnlytcPhil(1810) About Me  (Show Source):
You can put this solution on YOUR website!
>>How do you arrive at an answer when a math question is worded as follows?
1. 6 is ____________% of 20.
2. 10% of 20 is ____________.<<
I. Replace any given percent by a decimal by moving the decimal point two
places left and dropping the "%" symbol.
II. Replace the word "of" by the multiplication symbol " · ".
III. Replace the word "is" by an equal sign " = ".
IV. Replace the blank _____ by " x "
V. Solve the equation.
VI. If the blank has a "%" sign after it, change the answer to a
percent by moving the decimal point two places right.

>>1. 6 is ____________% of 20.
6 = x · 20
6 = x·20
6 = 20x
Divide both sides by 20
6/20 = 20x/20
.3 = x
Since there was a "%" after the blank, we change .3 to 30%.
>>2. 10% of 20 is ____________.<<
0.10 · 20 = x
(.10)(20) = x
2 = x
Edwin

Answer by Windym37(1) About Me  (Show Source):
You can put this solution on YOUR website!
The way I learned to solve this problem was to put
is % 6 %
__ = __ __ = ___ =30%

of 100 20 100
I put the 6 in the is spot, leave the percent blank cause you got to solve it, 20 in the of spot. Multiply 6 X 100 then divide by 20 and your answer is 30%.

is % 10%
__ =__ ____ =____ =2
of 100 20 100
I leave the is blank so you can solve it, put 20 in the of spot,10% in the percent spot. Then you multiply 10% by 20 then divide by 100 then you get the answer 2.
Let me know if you understand it that way. That is how I was taught to do the problem.

Answer by Okeke_Christian(26) About Me  (Show Source):
You can put this solution on YOUR website!
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.
Solution
Question becomes;
6 is x% of 20.
Next, we represent "is" with "=", "%" with "/100" and "of" with "X" i.e;
6+=+%28x%2F100%29+%2A+20.
Next, we re-arrange properly, i.e;
6+=+%28x+%2A+20%29%2F100

6+=+%2820x%29%2F100
Cross multiply:
600+=+20x
Divide both sides by 20:
600%2F20+=+20x%2F20

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 _______.
Solution
As before, replace dash with x;
10% of 20 is x.
Now represent values as before;
%2810%2F100%29+%2A+20+=+x

%2820%2A10%29%2F100+=+x

%28200%2F100%29+=+x

2+=+x
therefore%2C+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.

Answer by Tanzina ahamed(5) About Me  (Show Source):