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# If the ratio of y to x is equal to 3 and the sum of y and x is 80, wha

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Senior RC Moderator
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If the ratio of y to x is equal to 3 and the sum of y and x is 80, wha  [#permalink]

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06 Sep 2017, 10:44
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5% (low)

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84% (00:45) correct 16% (00:35) wrong based on 45 sessions

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If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is the value of y?

(A) –10 (B) –2 (C) 5 (D) 20 (E) 60

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Re: If the ratio of y to x is equal to 3 and the sum of y and x is 80, wha  [#permalink]

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06 Sep 2017, 11:00
If the ratio of y to x is equal to 3 and the sum of y and x is 80, what is the value of y?

(A) –10 (B) –2 (C) 5 (D) 20 (E) 60

The ratio of y to x is 3

$$\frac{y}{x} = \frac{3}{1}$$ , so y = 3x

Sum of y and x is 80

x + y = 80

Substitute y = 3x

x + 3x = 80
4x = 80
x = 20

Plug in x = 20
y = 3(20)
y = 60

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If the ratio of y to x is equal to 3 and the sum of y and x is 80, wha  [#permalink]

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06 Sep 2017, 12:13
From the question stem, we know $$\frac{y}{x} = 3 => y = 3x$$

x+y = 80
Substituting this value of y, 4x = 80 -> x = 20
Therefore y = 3x = 60(Option E)
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If the ratio of y to x is equal to 3 and the sum of y and x is 80, wha   [#permalink] 06 Sep 2017, 12:13
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