SOLUTION: Kathleen is baking chocolate cupcakes. Each batch of 20 cupcakes requires {{{2/3}}} cups of cocoa. a. If Kathleen has {{{3&1/4}}} cups of cocoa, how many full batche

Question 1185064: Kathleen is baking chocolate cupcakes. Each batch of 20 cupcakes requires
cups of cocoa.

a. If Kathleen has cups of cocoa, how many full batches will she
be able to make?
b. If there is any cocoa left over, how much is there?
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!
Kathleen is baking chocolate cupcakes. Each batch of 20 cupcakes requires
cups of cocoa.

a. If Kathleen has cups of cocoa, how many full batches will she
be able to make?

We determine how many handfuls of  are contained in
 by dividing  by .



We invert the second and multiply:



We change the first to an improper fraction:



Multiply numerators and denominators:



We change that to a mixed number:

    4
 8)39
   32
    7

That's 

So she can make 4 full batches.

b. If there is any cocoa left over, how much is there?

If she makes 4 batches, it will take  cups.

Left over, she will have 

Change both to improper fractions:



Get a least common denominator of 12

 of a cup left.

Edwin

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