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6.4 is what percent of 16,000? confused about this expressio

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yufenshi
 Post subject: 6.4 is what percent of 16,000? confused about this expressio
 Post Posted: Wed Nov 24, 2010 11:26 am 
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Students


Posts: 1
yufensi, you can mathematically express this equation as:
6.4 = x/100 * 16,000
By interpreting the words this way:
is means =
what means x (or variable)
percent means /100
of means *

I should try to isolate the x, so I should divide by 16,000 on both sides. I now have:
6.4/16,000 = x/100

Again, to isolate the x, I should multiply by 100 on both sides. I now have
6.4/160 = x

Dividing 6.4 by 160 will get you .04 very quickly.

You can also use approximation:
100% of 16,000 is 16,000
10% of 16,000 is 1,600
1% of 16,000 is 160
.1% of 16,000 is 16
.01% of 16,000 is 1.6

Since 6.4 is between 1.6 and 16, you know that your answer is somewhere between .01% and .1%. The only viable answer is .04%.

Thank you,
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atul.prasad
 Post subject: Re: 6.4 is what percent of 16,000? confused about this expressio
 Post Posted: Wed Nov 24, 2010 12:58 pm 
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Students


Posts: 34
x is what percent of y means

what is
(x/y) * 100 ?
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jnelson0612
 Post subject: Re: 6.4 is what percent of 16,000? confused about this expressio
 Post Posted: Fri Nov 26, 2010 11:40 am 
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ManhattanGMAT Staff


Posts: 1857
Not surprisingly, atul is right again. Thanks atul!

yufensi, you can also mathematically express this equation as:
6.4 = x/100 * 16,000
By interpreting the words this way:
is means =
what means x (or variable)
percent means /100
of means *

I should try to isolate the x, so I should divide by 16,000 on both sides. I now have:
6.4/16,000 = x/100

Again, to isolate the x, I should multiply by 100 on both sides. I now have
6.4/160 = x

Dividing 6.4 by 160 will get you .04 very quickly.

You can also use approximation:
100% of 16,000 is 16,000
10% of 16,000 is 1,600
1% of 16,000 is 160
.1% of 16,000 is 16
.01% of 16,000 is 1.6

Since 6.4 is between 1.6 and 16, you know that your answer is somewhere between .01% and .1%. The only viable answer is .04%.

Thank you,

_________________
Jamie Nelson
ManhattanGMAT Instructor
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