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If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

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Bunuel
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If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   05 Nov 2015, 12:32
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If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

(A) 25/6
(B) 36/25
(C) 6/5
(D) 5/6
(E) 25/36
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B
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Re: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   05 Nov 2015, 12:54
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Bunuel wrote:
If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

(A) 25/6
(B) 36/25
(C) 6/5
(D) 5/6
(E) 25/36




5x = 6y => x/y = 6/5

1/5*x to 1/6*y = x/y * 6/5 = (6/5)^2=36/25
Ans: B
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Re: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   05 Nov 2015, 12:59
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if xy different then 0, then x = 6y/5
1/5 of x is then 6y/25

ratio of x/5 to y/6 is thus:
6y/25 * 6/y
simplify by y, and get 36/25 -> B.
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Re: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   05 Nov 2015, 18:47
Since 5x=6y and xy<>0

We can pick numbers for x and y
x=6 and y=5

(1/5*x)/(1/6*y)
=36/25

Answer B
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Re: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   05 Nov 2015, 22:51
5x = 6y
x/y = 6/5

1/5*x to 1/6*y = x/y * 6/5 = (6/5)^2=36/25

Ans: B
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Re: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   06 Nov 2015, 06:17
skywalker18 wrote:
Since 5x=6y and xy<>0

We can pick numbers for x and y
x=6 and y=5

(1/5*x)/(1/6*y)
=36/25

Answer B



How did you get the last part? When you plug in 6 in for X and 5 in for Y. you get 30/30?
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Re: If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   06 Nov 2015, 06:23
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xLUCAJx wrote:
skywalker18 wrote:
Since 5x=6y and xy<>0

We can pick numbers for x and y
x=6 and y=5

(1/5*x)/(1/6*y)
=36/25

Answer B



How did you get the last part? When you plug in 6 in for X and 5 in for Y. you get 30/30?


When you substitute x=6 and y=5, you get

\(\frac{(1/5)*6}{(1/6)*5} = \frac {6/5}{5/6} = \frac{36}{25}.\)

Hope this helps.
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Re: If 5x = 6y and xy 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink] New post   17 Jan 2024, 16:49
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Re: If 5x = 6y and xy 0, what is the ratio of 1/5*x to 1/6*y ? [#permalink]
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