Mathematics

Question

A bag of trail weighs 11 1/2 ounces each serving of trail mix is 3/4 ounce how many servings are in the bag of trail mix? Show your work

1 Answer

  • So, the bag weights 11[tex] \frac{1}{2} [/tex], that is 11.5,, and also that is [tex] \frac{11*2+1}{2} = \frac{23}{2} [/tex] correct?

    I changed it into an improper fraction, because the division will be easier later.

    A serving is [tex] \frac{3}{4} [/tex]. So what we need to do is the divide the weight of the bag, that is [tex] \frac{23}{2} [/tex] by the weight of the serving, that is [tex] \frac{3}{4} [/tex].

    a division by fraction is a multiplication by its inverse, like this:

    [tex] \frac{23}{2} [/tex]*[tex] \frac{4}{3} [/tex]

    now we can simplify: the denominator of the first and the nominator of second are multilications of 2:

    [tex]\frac{23}{1} [/tex]*[tex] \frac{2}{3}= \frac{46}{3} \frac{1}{3} [/tex]


    so there are 15 servings and a little will be left over.


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