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In a certain fraction, the denominator is 16 greater than the numerato
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19 Jun 2018, 21:36

3

21

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A

B

C

D

E

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25% (medium)

Question Stats:

71% (01:15) correct 29% (01:18) wrong based on 1124 sessions

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In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

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19 Jun 2018, 21:55

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Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

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Re: In a certain fraction, the denominator is 16 greater than the numerato
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19 Jun 2018, 23:13

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1

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

1) 80% means 80 out of 100, so here 80 is 100-80=20 less than 100 But we are looking for 16 less... Difference is 20, denominator is 100.. So when difference is 16, denominator will be \(\frac{100}{20}*16=80\)

2) let numerator be X, so denominator will be X+16 So \(\frac{X}{X+16}=\frac{80}{100}....100X=80X+16*80....20X=16*80....X=16*4=64\) Therefore X+16=64+16=80..

3) substitution Substitute denominator as per the choices and see what corresponds to 80% Always better to start with MIDDLE value so that you minimize your task.. If C<80% check for D and E If C>80%, check for B and A If C=80% that is your answer C. 72 Fraction = \(\frac{72-16}{72}=56/72=7/9 < 8/10\) So check for D D. 80 (80-16)/80=64/80=8/10.. YES

In a certain fraction, the denominator is 16 greater than the numerato
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19 Jun 2018, 23:16

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

If denominator of fraction is x, we can evaluate the answer options and check which of the fractions yield 80% | For denominator x -> \(\frac{x-16}{x}\) must be equal to \(\frac{4}{5}\)

A. \(32 = \frac{32-16}{32} = \frac{16}{32} = \frac{1}{2}\) B. \(64 = \frac{64-16}{64} = \frac{48}{64} = \frac{3}{4}\) C. \(72 = \frac{72-16}{72} = \frac{56}{72} = \frac{7}{9}\) D. \(80 = \frac{80-16}{80} = \frac{64}{80} = \frac{4}{5}\) E. \(120 = \frac{120-16}{120} = \frac{104}{120} = \frac{13}{15}\)

Therefore, Option D(80) is the value for the denominator of the fraction
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Re: In a certain fraction, the denominator is 16 greater than the numerato
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21 Jun 2018, 16:57

2

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

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27 Jun 2018, 05:57

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Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

...the denominator is 16 greater than the numerator. We can write: D = N + 16

If the fraction is equivalent to 80 percent... We can write: N/D = 80/100 Simplify to get: N/D = 4/5 Cross multiply to get: 5N = 4D

...what is the denominator of the fraction? We now have the following system of equations D = N + 16 5N = 4D

Take the top equation, and solve for N to get: N = D - 16 Now take the bottom equation and replace N with D - 16 to get: 5(D - 16) = 4D Expand: 5D - 80 = 4D Solve: D = 80

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26 Jan 2019, 17:42

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

Re: In a certain fraction, the denominator is 16 greater than the numerato
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15 Feb 2019, 00:46

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

In a certain fraction, the denominator is 16 greater than the numerato
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04 Aug 2019, 08:38

lets try less math and more logic!

We know 80% = 4/5 --> the difference between denominator and numerator is 1. We are said that the difference is 16. So, if 1 is to 16, Then 5 is to 80. Or, 1/16 = 5/x x = 80

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