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Town A and town B have some area that is common to both the towns, suc
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01 Jul 2024, 00:39
01 Jul 2024, 00:39
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Question Stats:
50% (01:49) correct
50% (01:49) wrong based on 30 sessions
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Town A and town B have some area that is common to both the towns, such that the area of town A that lies in town B is 20% of the area of town B that does not come in town A.
Quantity A |
Quantity B |
The percent of town A that lies in town B |
18% |
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Re: Town A and town B have some area that is common to both the towns, suc
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20 Sep 2024, 01:25
20 Sep 2024, 01:25
Explanation pls?
Town A and town B have some area that is common to both the towns, suc
[#permalink]
20 Sep 2024, 01:51
20 Sep 2024, 01:51
2
Expert Reply
We have essentially this
town.png [ 20.44 KiB | Viewed 2369 times ]
Now, we do know that 20% of the area of town B is off of town A. The ratio area in common and area NOT in common is
\(b:c:5:1\)
We need to compare the area of A that IS in town B with 18%
\(\frac{c}{a+c}\) with 18%
However we know some relation between b and c but not between a and c or the denominator above.
D is the answer
Attachment:
town.png [ 20.44 KiB | Viewed 2369 times ]
Now, we do know that 20% of the area of town B is off of town A. The ratio area in common and area NOT in common is
\(b:c:5:1\)
We need to compare the area of A that IS in town B with 18%
\(\frac{c}{a+c}\) with 18%
However we know some relation between b and c but not between a and c or the denominator above.
D is the answer
