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

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Math Expert
Joined: 02 Sep 2009
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What is the ratio of the number of boys to girls on the school bus?  [#permalink]

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05 Mar 2019, 04:59
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87% (00:58) correct 13% (01:17) wrong based on 39 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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05 Mar 2019, 10:35
1
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

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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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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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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.

(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.

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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