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What is the ratio of the number of boys to girls on the school bus?

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What is the ratio of the number of boys to girls on the school bus?  [#permalink]

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New post 05 Mar 2019, 04:59
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A
B
C
D
E

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  25% (medium)

Question Stats:

90% (00:55) correct 10% (01:58) wrong based on 20 sessions

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What is the ratio of the number of boys to girls on the school bus?


(1) The number of boys is 5 less than twice the number of girls.

(2) The difference between the number of boys and the number of girls is 35.

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Re: What is the ratio of the number of boys to girls on the school bus?  [#permalink]

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New post 05 Mar 2019, 10:35
From S1:

B = 2G-5
Insufficient.

From S2:

B-G = 35
Insufficient.

Combining both:

G+35 = 2G-5
40 = G
Then B = 75
B:G = 15:8

C is the answer.
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Re: What is the ratio of the number of boys to girls on the school bus?  [#permalink]

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New post 05 Mar 2019, 10:52
Bunuel wrote:
What is the ratio of the number of boys to girls on the school bus?


(1) The number of boys is 5 less than twice the number of girls.

(2) The difference between the number of boys and the number of girls is 35.


total B+G = bus strength
#1
B= 2G-5
in sufficeint
#2
B-G=35
not sufficient
from 1 & 2
sufficeint
to say B & G
solve we get g= 40
IMO C
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Re: What is the ratio of the number of boys to girls on the school bus?  [#permalink]

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New post 05 Mar 2019, 11:05
1
Bunuel wrote:
What is the ratio of the number of boys to girls on the school bus?


(1) The number of boys is 5 less than twice the number of girls.

(2) The difference between the number of boys and the number of girls is 35.


IF YOU FIND MY SOLUTION HELPFUL, PLEASE GIVE ME KUDOS

(1) The number of boys is 5 less than twice the number of girls. We can write B=2G-5. Even substituting, our ratio would be B/G = (2G-5)/G, which does not simplify to a real number. NS

(2) The difference between the number of boys and number of girls is 35. We can write B-G = 35 --> B = 35+G. Similarly as with (1). This does not simplify to a real number. NS

(1) and (2) combining (1) and (2) We have two variables with two equations: B = 35+G and B=2G-5. Notice that Neither equation is a multiple of the other, so both equations provide new information. From here we can solve 0 = 40-G and G = 40, Thus B = 75, thus B/G = 75/40, but we dont have to calculate this far. Sufficient.

The answer is C
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Re: What is the ratio of the number of boys to girls on the school bus?   [#permalink] 05 Mar 2019, 11:05
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