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Writing equations to find percents

 
 
Reply Sun 30 Jan, 2011 02:04 pm
i understand how to find the percent like....
what percent of 10 is 4? i understand that question.
But... when the number is over 100 i dont know what to do to make the proportion. example:
147 is 14% of what number?
i dont understand this question because i dont know if im still supposed to use 100 as my denominator under the 14% because 147 is greater than 100. PLEASE PLEASE help i have a huge quarterly test tomorrow and need this information.
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Type: Question • Score: 1 • Views: 1,597 • Replies: 7
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Chumly
 
  1  
Reply Sun 30 Jan, 2011 02:26 pm
@deerom19,
It's simply the inverse 147 / .14 = 1050
0 Replies
 
JPB
 
  1  
Reply Sun 30 Jan, 2011 02:40 pm
@deerom19,
Are you familiar with equivalent ratios? You could set your number that is greater than 100 up as the numerator and solve for the denominator that is equivalent to the percent as a fraction. For example:

147/x = 14/100

now, solve for x that makes the two ratios (fractions) equal. To do that you cross multiply 14x=14700 and then solve for x=14700/14=1050.

Let's see if this makes sense...

you want some number x that equals 147 when multiplied by .14

147/0.14=1050 and 1050 times 0.14 = 147
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PUNKEY
 
  2  
Reply Sun 30 Jan, 2011 03:09 pm
14% = .14

"of" means times

147 = .14 of (X)

divide both sides by .14 and you get 1050
Ticomaya
 
  1  
Reply Sun 30 Jan, 2011 03:23 pm
@PUNKEY,
PUNKEY wrote:
147 = .14 of (X)

Yes, that's how I solve it:

147 = .14 * X

147 / .14 = (.14 * X) / .14

147 / .14 = X

1050 = X

Thus, 14% of 1050 is 147.
0 Replies
 
MorganBieber
 
  1  
Reply Sat 2 Apr, 2011 09:27 am
@deerom19,
Use a calculator and divide 4 by 10.
And you get 0.4 which when you move the decimal to the right you get that 4 is 40% of 10.
littlek
 
  2  
Reply Sat 2 Apr, 2011 10:05 am
@MorganBieber,
But, it sounds like the original poster needed to write an equation to find the percentage. Same answer, different process.
MorganBieber
 
  1  
Reply Sat 2 Apr, 2011 11:26 pm
@littlek,
Yep. This year in Algebra 1 I'm so suprised at how much we're allowed to use calculators. Best invention yet!
0 Replies
 
 

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