SOLUTION: Bob prepared a variety of cookies. 2/3 of the cookies were peanut butter. 2/3 of the remaining cookies were sugar. There were 5 triple fudge cookies. How many cookies did Bob prepa

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Bob prepared a variety of cookies. 2/3 of the cookies were peanut butter. 2/3 of the remaining cookies were sugar. There were 5 triple fudge cookies. How many cookies did Bob prepa      Log On


   

Question 1181255: Bob prepared a variety of cookies. 2/3 of the cookies were peanut butter. 2/3 of the remaining cookies were sugar. There were 5 triple fudge cookies. How many cookies did Bob prepare altogether?
Answer by ikleyn(52898) About Me  (Show Source):
You can put this solution on YOUR website!
.

x = total cookies

peanut butter  %282%2F3%29x

sugar          %282%2F3%29%2A%281%2F3%29x,  or  %282%2F9%29x

triple fudge    5



Total equation

    %282%2F3%29x + %282%2F9%29x + 5 = x.



To solve, multiply all the terms by 9 to ride off the denominators


    6x + 2x + 45 = 9x

    45 = 9x - 6x - 2x

    45 = x

     x = 45.


ANSWER.  45 cookies, in total.

Solved, answered and carefully explained.


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