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# If 119 of the 200 children in a school like juice with their breakfast

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Re: If 119 of the 200 children in a school like juice with their breakfast [#permalink]
1
Kudos
I really like to emphasize on using the Manahattan Prep method for these kind of problems. See the image for the method and answer.

The given values are in green and the calculated values are in blue.

Please give Kudos+1 if you like the procedure.
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Re: If 119 of the 200 children in a school like juice with their breakfast [#permalink]
Bunuel wrote:
If 119 of the 200 children in a school like juice with their breakfast, 113 like milk and 51 like to have both, how many like neither juice nor milk?

A. 83
B. 70
C. 51
D. 32
E. 19

We can create the equation:

Total students = like milk + like juice - like both + like neither

200 = 113 + 119 - 51 + n

200 = 181 + n

19 = n