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In her backyard, Florry grows only yellow roses and white roses. Some

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In her backyard, Florry grows only yellow roses and white roses. Some  [#permalink]

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New post 17 Jun 2019, 23:45
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In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent of her bushes have only yellow roses?

A. 20
B. 30
C. 50
D. 70
E. 80

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Re: In her backyard, Florry grows only yellow roses and white roses. Some  [#permalink]

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New post 18 Jun 2019, 00:21
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Bunuel wrote:
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent of her bushes have only yellow roses?

A. 20
B. 30
C. 50
D. 70
E. 80


Only Y=1.5 of Only W; Only W=Only Y/1.5

100%=Only Y+Only W+Both
100%=(Only Y+Both)+Only W
100%=Yellow+Only Y/1.5; 20%=Only Y/1.5;Y=30% IMO B
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Re: In her backyard, Florry grows only yellow roses and white roses. Some  [#permalink]

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New post 18 Jun 2019, 05:10
Bunuel wrote:
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent of her bushes have only yellow roses?

A. 20
B. 30
C. 50
D. 70
E. 80


2x2 matrix
-----yellow---red----total
one--1.5x----x----2.5x
both -- ------- ----
total--80-----20----100
x=20
1.5*20 ; 30 so % of only yellow ; 30
IMO B
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Re: In her backyard, Florry grows only yellow roses and white roses. Some  [#permalink]

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New post 23 Jun 2019, 19:25
Bunuel wrote:
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% of Florry's rose bushes, then what percent of her bushes have only yellow roses?

A. 20
B. 30
C. 50
D. 70
E. 80



We can let the total number of rose bushes = 100. Therefore, 80 bushes have yellow roses, and 20 bushes have white roses only. We can let n = the number of bushes that have roses of both colors. Therefore, we can create the equation:

80 - n = 1.5(20)

80 - n = 30

50 = n

So 80 - 50 = 30 bushes, or 30 percent of all bushes, have yellow roses only.

Answer: B
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Re: In her backyard, Florry grows only yellow roses and white roses. Some   [#permalink] 23 Jun 2019, 19:25
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