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The ratio of number of boys to girls to adults in a certain museum is

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The ratio of number of boys to girls to adults in a certain museum is  [#permalink]

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New post 29 Dec 2018, 08:30
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The ratio of number of boys to girls to adults in a certain museum is 4 to 7 to 5, how many people are in the museum? At least one person is in the museum.

1) The sum of the number of girls and the number of adults in the museum is 12

2) The number of boys in the museum is less than 7
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Re: The ratio of number of boys to girls to adults in a certain museum is  [#permalink]

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New post 29 Dec 2018, 08:39
1. If the number of girls and number of adults is 12, the number of boys would be 4. SUFFICIENT.

2. The only possible count of boys less than 7 would be 4. Sufficient.

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Re: The ratio of number of boys to girls to adults in a certain museum is  [#permalink]

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New post 31 Dec 2018, 06:43
Since we are dealing with people and there has to at least be 1 person in the museum, to make the ratio correct the answer must follow the formulas below.

n is a integer constant through all equations
boys = n * 4
girls = n * 7
adults = n * 5

1. 12 girls and adults --> n = 1 --> boys = 4 --> 16 people (Suff)

2. There must be at least one person at the museum, therefore n at least equals 1. Since there is less than 7 boys, n can only equal 1 and we get the same number of people as before, 16 people.
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Re: The ratio of number of boys to girls to adults in a certain museum is   [#permalink] 31 Dec 2018, 06:43
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The ratio of number of boys to girls to adults in a certain museum is

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