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# A vineyard contains different types of grapevines. One-fourth of the

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
A vineyard contains different types of grapevines. One-fourth of the  [#permalink]

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11 Jan 2018, 21:50
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:45) correct 16% (02:25) wrong based on 47 sessions

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A vineyard contains different types of grapevines. One-fourth of the number of white grapevines is one-tenth of the total number of grapevines in the vineyard. One-fifth of the number of red grapevines is one-fifteenth of the total number of vines in the vineyard. If there are 120 white grapevines in the vineyard, how many red grapevines are in the vineyard?

A. 180
B. 135
C. 100
D. 90
E. 85

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Location: India
Concentration: Finance, Accounting
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Re: A vineyard contains different types of grapevines. One-fourth of the  [#permalink]

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11 Jan 2018, 23:10
Let total no of grapevine = V
White grapevine = W
Red grapevine= R

$$\frac{1}{4}$$W= $$\frac{1}{10}$$V

$$\frac{1}{4}$$*120= $$\frac{V}{10}$$

V=300

$$\frac{1}{5}$$R= $$\frac{1}{15}$$V

$$\frac{R}{5}$$= $$\frac{1}{15}$$*300

R= 5*20= 100

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Re: A vineyard contains different types of grapevines. One-fourth of the   [#permalink] 11 Jan 2018, 23:10
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