SOLUTION: Jaimie was trying to count the number of cookies at the party. One-half were chocolate chip, 12 were peanut butter, one-third were oatmeal. How many cookies did she count?

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Question 91834: Jaimie was trying to count the number of cookies at the party. One-half were chocolate chip, 12 were peanut butter, one-third were oatmeal. How many cookies did she count?
Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
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Question:

Jaimie was trying to count the number of cookies at the party. One-half were chocolate chip, 12 were peanut butter, one-third were oatmeal. How many cookies did she count?
Answer:
Assume that,
Total number of cookies = x
Then number of chocolate chip = one-half of x = x%2F2

Peanut butter = 12

Oatmeal = one-third = x%2F3

As per the question,

+x%2F2+%2B+12+%2B+x%2F3+=+x+


Multiply throughout with 6

==> +6%2A+%28x%2F2%29+%2B+6%2A+12+%2B+6%2A%28x%2F3%29++=+6+%2A+x+

==> +3x+%2B+72+%2B+2x+=+6x

==> +3x+%2B+2x+%2B+72++=+6x

==> +5x+%2B+72++=+6x

Subtract 5x from both sides...

==> 5x + 72 - 5x = 6x - 5x

==> 72 = x

That is ...
Total number of cookies = 72

Hope you found the explanation useful.

Regards.

Praseena.