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The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y?

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Bunuel
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The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y? [#permalink] New post   26 Oct 2020, 09:14
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The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y?

A. 1:11
B. 2:11
C. 3:11
D. 4:11
E. 11:4
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D
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Hoozan
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Re: The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y? [#permalink] New post   26 Oct 2020, 09:25
5x : 2(x+y) = 2:3

15x = 4x + 4y

11x = 4y

x:y = 4:11 (D)

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Re: The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y? [#permalink] New post   26 Oct 2020, 09:35
Bunuel wrote:
The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y?

A. 1:11
B. 2:11
C. 3:11
D. 4:11
E. 11:4

\(\frac{5x}{2x + 2y} = \frac{2}{3}\)

Or, \(15x = 4x + 4y\)

So, \(11x = 4y\)

Hence, \(\frac{x}{y} = \frac{4}{11}\), Answer must be (D)
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Re: The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y? [#permalink] New post   26 Oct 2020, 11:26
Given: The ratio of 5x to 2(x + y) is 2:3.
Asked: What is the ratio of x to y?
15x = 4x + 4y
11x = 4y
x/y = 4/11

IMO D
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Re: The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y? [#permalink] New post   26 Oct 2020, 21:35
5x/2(x + y)=2/3
15x=4x+4y
11x=4y
11x/11y=4y/11y
x:y=4:11
D)
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Re: The ratio of 5x to 2(x + y) is 2:3. What is the ratio of x to y? [#permalink]
26 Oct 2020, 21:35
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