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3/4 of all married couples have more than one child. 2/5 of
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15 Apr 2020, 08:35
15 Apr 2020, 08:35
Expert Reply
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Question Stats:
50% (01:18) correct
50% (01:17) wrong based on 6 sessions
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3/4 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
A. 1/5
B.1/4
C. 7/20
D. 3/5
E. It cannot be determined from the given information.
A. 1/5
B.1/4
C. 7/20
D. 3/5
E. It cannot be determined from the given information.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 3/4 of all married couples have more than one child. 2/5 of
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15 Apr 2020, 09:24
15 Apr 2020, 09:24
Carcass wrote:
3/4 of all married couples have more than one child. 2/5 of all married couples have more than 3 children. What fraction of all married couples have 2 or 3 children?
A. 1/5
B.1/4
C. 7/20
D. 3/5
E. It cannot be determined from the given information.
A. 1/5
B.1/4
C. 7/20
D. 3/5
E. It cannot be determined from the given information.
GIVEN: 3/4 of all married couples have more than one child
In other words, 3/4 of all married couples have 2 or 3 or 4 or 5 or 6 or ...(etc) children
GIVEN: 2/5 of all married couples have more than 3 children
In other words, 2/5 of all married couples have 4 or 5 or 6 or ...(etc) children
Notice that the married couples who have 4 or 5 or 6 or ...(etc) children are included among the married couples who have 2 or 3 or 4 or 5 or 6 or ...(etc)
So, we know that (number of couples with 2 or 3 or 4 or 5 or 6 or ...(etc) kids) - (number of couples with 4 or 5 or 6 or ...(etc) kids) = number of couples with 2 or 3 kids.
So, the fraction of married couples with 2 or 3 kids = 3/4 - 2/5 = 15/20 - 8/20 = 7/20
Answer: C
Cheers,
Brent
gmatclubot
Re: 3/4 of all married couples have more than one child. 2/5 of [#permalink]
15 Apr 2020, 09:24
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