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There are B number of boys and G number of girls in a class. What is

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There are B number of boys and G number of girls in a class. What is  [#permalink]

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New post 13 Aug 2018, 21:45
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There are B number of boys and G number of girls in a class. So total number of students is B+G. What is the value of G?

(1) B is 85% of G.

(2) Value of G is more than 36 but less than 54.
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Re: There are B number of boys and G number of girls in a class. What is  [#permalink]

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New post 14 Aug 2018, 00:16
There are B number of boys and G number of girls in a class. So total number of students is B+G. What is the value of G?

(1) B is 85% of G.
If G is 100, B=85
If G is 200, B=170
Insufficient

(2) Value of G is more than 36 but less than 54.
Can be any value 40,50,etc
Insufficient

Combined
\(B=\frac{85G}{100}\), in denominator we have 100 but there is ONLY one 5 in numerator..
Therefore for B to be an integer, G should be a multiple of \(\frac{100}{5}=20\)
There is ONLY one multiple of 20 between 36 and 54..
Answer is 2*20=40
Sufficient

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There are B number of boys and G number of girls in a class. What is  [#permalink]

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New post 14 Aug 2018, 00:56
From (i)- B=0.85G or B=(17/20)*G ----[Alone not Sufficent]
From(ii)- 36<G<54 ------[Alone not Sufficent]

Combining (i)&(ii)

B=(17/20)*G ; For B to be integer, G= 20/40/60.... multiple of 20

From (ii) permissible value for G=40 [36<G<54]
Therefore, G=40

Ans: Both statement together are sufficent to ans the ques.
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There are B number of boys and G number of girls in a class. What is &nbs [#permalink] 14 Aug 2018, 00:56
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