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The average age of children on a certain playground is 3.7 years. The

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The average age of children on a certain playground is 3.7 years. The  [#permalink]

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New post 13 Jan 2019, 15:25
2
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:03) correct 33% (01:22) wrong based on 37 sessions

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The average age of children on a certain playground is 3.7 years. The average age of girls is 3.3 years. What is the average age of boys?

1. The ratio of boys to girls is 3:2

2. There are 10 girls
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Re: The average age of children on a certain playground is 3.7 years. The  [#permalink]

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New post 13 Jan 2019, 18:03
1. Sufficient
If there are 3 boys and 2 girls, Aveg age of boys = (3.7*5 -3.3*2)/3 can be determined
or If there are 6 boys and 4 girls, Aveg age of boys = (3.7*10 -3.3*4)/6 can be determined
2. Not Sufficient - No information about the boys

Hence Answer would be A.
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Re: The average age of children on a certain playground is 3.7 years. The  [#permalink]

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New post 13 Jan 2019, 21:41
Jazzmin wrote:
The average age of children on a certain playground is 3.7 years. The average age of girls is 3.3 years. What is the average age of boys?

1. The ratio of boys to girls is 3:2

2. There are 10 girls


By the Rule of Alligations

\(\frac{b}{g}\) = \(\frac{(A - A_g)}{(A_b- A)}\)

\(\frac{b}{g}\) = \(\frac{(3.7- 3.3)}{A_b - 3.7)}\) ..... Eqn 1

St 1 : b/g = 3/2, Substituting in Eqn 1

We are left with one unknown ( \(A_b\) ) and one Equation

Sufficient

St 2 : g = 10, Substituting this in Eqn 1 we are left with two unknowns and one Equation

Not Sufficient

Choice A
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Re: The average age of children on a certain playground is 3.7 years. The   [#permalink] 13 Jan 2019, 21:41
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