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In a tree 3/5 of the birds are robins while the rest are bluejays. If 10 Jul 2015, 02:32
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 1/4 of the robins are female and 3/4 of the bluejays are female, what fraction of the birds in the tree are male?

A. 7/15
B. 1/2
C. 11/20
D. 2/3
E. 7/10

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C
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In a tree 3/5 of the birds are robins while the rest are bluejays. If Updated on: 10 Jul 2015, 05:08
Originally posted by ENGRTOMBA2018 on 10 Jul 2015, 04:33.
Last edited by ENGRTOMBA2018 on 10 Jul 2015, 05:08, edited 1 time in total.
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 1/4 of the robins are female and 3/4 of the bluejays are female, what fraction of the birds in the tree are male?

A. 7/15
B. 1/2
C. 11/20
D. 2/3
E. 7/10

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Assume 100 for the total number of birds (divisible by both 4,5)

Text in black: given information
Text in red: calculated

Robins total = 3/5 * 100 = 60---> Bluejays = 100-60=40
Female robins = 1/4 * 60 = 15
Female bluejays = 3/4*40 = 30
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 10 Jul 2015, 05:05
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Bunuel
In a tree 3/5 of the birds are robins while the rest are bluejays. If 1/4 of the robins are female and 3/4 of the bluejays are female, what fraction of the birds in the tree are male?

A. 7/15
B. 1/2
C. 11/20
D. 2/3
E. 7/10

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Please check the color coding to understand the Sequence of steps for solving the question

Answer: Option C
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 11 Jul 2015, 10:31
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 1/4 of the robins are female and 3/4 of the bluejays are female, what fraction of the birds in the tree are male?

A. 7/15
B. 1/2
C. 11/20
D. 2/3
E. 7/10

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Let total no of birds=100
Robins=60
Bluejays=40
Male Robins=45, Female robins=15
Male Bluejays=10
Female Bluejays=30
Required fraction=55/100=11/20
Answer C
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 13 Jul 2015, 02:47
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In a tree 3/5 of the birds are robins while the rest are bluejays. If 1/4 of the robins are female and 3/4 of the bluejays are female, what fraction of the birds in the tree are male?

A. 7/15
B. 1/2
C. 11/20
D. 2/3
E. 7/10

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800score Official Solution:

First we need to determine the fraction of the birds that are bluejays:
(fraction that are bluejays) = 1 (total birds) – 3/5 (fraction that are robins) = 5/5 (total birds) – 3/5 (fraction that are robins) = 2/5
Next, determine the fraction of all the birds that are female:
(fraction of all birds that are female) = (3/5) × (1/4) (female robins) + (2/5) × (3/4) (female bluejays) = 3/20 (female robins) + 6/20 (female bluejays) = 9/20 of all birds are female.
The fraction of male birds then is:
(fraction of all birds that are male) = 1 (total birds) – 9/20 (female birds) = 20/20 (total birds) – 9/20 (female birds) = 11/20 of all birds are male.

The alternative way:
Suppose there were 100 birds in the tree. Using the fractions in the question, you can fill up this table.



Therefore 55 out of 100 birds are male, implying a fraction of
55/100 = 11/20.

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In a tree 3/5 of the birds are robins while the rest are bluejays. If 13 Oct 2019, 01:27
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