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If m, r, x and y are positive, the ratio of m to r equal

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If m, r, x and y are positive, the ratio of m to r equal [#permalink]  27 Apr 2010, 08:52
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If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

(1) The ratio of m to y is equal to the ratio of x to r
(2) The ratio of m + x to r + y is equal to the ratio of x to y
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Re: GMAT PREP (DS) [#permalink]  27 Apr 2010, 09:26
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If m, r, x and y are positive, the ratio of m to r equal to the ratio x to y?

Is $$\frac{m}{r}=\frac{x}{y}$$? Is $$my=rx$$?

(1) the ratio of m to y is equal to the ratio of x to r --> $$\frac{m}{y}=\frac{x}{r}$$ --> $$mr=xy$$. Not sufficient.

(2) the ratio of m + x to r + y is equal to the ratio of x to y --> $$\frac{m+x}{r+y}=\frac{x}{y}$$ --> cross multiply --> $$my+xy=rx+xy$$ --> $$my=rx$$. Sufficient.

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Re: How do you solve this in 2 minutes? [#permalink]  14 May 2010, 11:51
Let me first start off by saying that I got B, so if that is incorrect, you can ignore the rest of my post!

I put each ratio into fractions, and cross multiplied. The stem asks does m/r=x/y or in other terms, does ym=rx?

In st1, we are told m/y=x/r or rm=yx. Insuf.

In st2, we are told (m+x)/(r+y)=x/y or ym+yx=rx+yx -> ym=rx. Suff
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Re: How do you solve this in 2 minutes? [#permalink]  14 May 2010, 19:38
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vannbj wrote:
If m, r, x, and y are positive is the ratio of m to r equal to the ratio of x to y?
1) the ratio of m to y is equal to the ratio of x to r
2) the ratio of m + x to r + y is equal to the ratio of x to y

A. statement 1 alone is sufficient but statement 2 is not sufficient
B. statement 2 alone is sufficient but statement 1 is not sufficient
C. Both statements Together are sufficient but neither is sufficient alone
D. Each Statement alone is sufficient
E. Statements 1 and 2 Together are not sufficient

We have: $$\frac{a}{b}=\frac{c}{d}= \frac{a-c}{b-d}= \frac{a+c}{b+d}= \frac{a+kc}{b+kd}$$
1) insuf
2) $$\frac{m+x}{r+y} =\frac{x}{y}= \frac{m+x-x}{r+y-y} = \frac{m}{r}$$ suff
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Re: GMAT PREP (DS) [#permalink]  18 Jul 2010, 19:36
Can anyone help me understand why 1 is insuff? I understand that when you cross multiply 1, you get mr=xy, while the question wants to see xr=my, which 2 provides. Still, I don't see the difference between mr=xy and xr=my.

Sorry for the poor explanation, I just don't understand why 2 is insuff.
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Re: GMAT PREP (DS) [#permalink]  19 Jul 2010, 02:01
masland wrote:
Can anyone help me understand why 1 is insuff? I understand that when you cross multiply 1, you get mr=xy, while the question wants to see xr=my, which 2 provides. Still, I don't see the difference between mr=xy and xr=my.

Sorry for the poor explanation, I just don't understand why 2 is insuff.

Try digits.
Let
m=5
r=4
x=2
y=10

mr=xy (5*4=2*10), but xr not equal to my (2*4 and 5*10).
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Re: If m, r, x, and y are positive, is the ratio of m to r equal [#permalink]  20 Dec 2011, 08:59
1) m/y = x/r
mr = xy
insufficient

2) [m+x]/[r+y] = x/y
my + xy = rx + xy
my = rx
m/r = x/y
Sufficient
Ans. B
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Re: If m, r, x, and y are positive, is the ratio of m to r equal [#permalink]  20 Dec 2011, 11:31
is the ratio of m to r equal to the ratio of x to y?
or is m/r=x/y
or is m/x=r/y
Statement 1: m/y=x/r or m/x= y/r. So NO. Sufficient.
Can Someone please tell, what am i doing wrong for statement 1.
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Re: If m, r, x, and y are positive, is the ratio of m to r equal [#permalink]  06 Jan 2012, 20:43
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BDSunDevil wrote:
is the ratio of m to r equal to the ratio of x to y?
or is m/r=x/y
or is m/x=r/y
Statement 1: m/y=x/r or m/x= y/r. So NO. Sufficient.
Can Someone please tell, what am i doing wrong for statement 1.

I think you are assuming that r/y can never equal y/r.
If y = 1, r = 1, then r/y = y/r.

Such values can show that Statement 1 is sufficient to answer the equation. However, for some other values, Statement 1 will not be sufficient to answer the question. That is why it is INSUFFICIENT.

Statement 2, on the other hand, will always be sufficient because after cross multiplication, the xy will cancel out from both sides of the equation, giving us only the equation my = xr. This is sufficient to answer the question regardless of the values that each of the variables takes. That is why it is SUFFICIENT.

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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]  09 Oct 2013, 12:43
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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]  21 Oct 2014, 07:17
Hello from the GMAT Club BumpBot!

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Re: If m, r, x and y are positive, the ratio of m to r equal [#permalink]  26 Dec 2014, 12:46
1) m/y = x/r
mr = xy
insufficient

2) [m+x]/[r+y] = x/y
my + xy = rx + xy
my = rx
m/r = x/y
Sufficient
Ans. B
Re: If m, r, x and y are positive, the ratio of m to r equal   [#permalink] 26 Dec 2014, 12:46
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