Answer :

AL2006

1 batch . . . . 2-1/4 cups
2 batches . . 4-1/2 cups
3 batches . . 6-3/4 cups
4 batches . . 9 cups
.
.
7 batches . . 7(2 + 1/4) =

                   (7 x 2) + (7 x 1/4) =

                     14     + ( 7/4) =

                     14  +    1-3/4  =  15-3/4


c). Write a proportion:       (1 batch) /(3 dozen)  = (x) / (200 cookies) 

1 dozen = 12 cookies
3 dozen = 36 cookies

So the proportion is     (1 batch)/(36 cookies) = (x) / (200 cookies)

Cross-multiply:         (1 batch) x (200 cookies) = ('x' batch) x (36 cookies)

Divide each side by  (36 cookies):

                           (1 batch x 200 cookies / 36 cookies) = 'x' batch

                           (200 batch / 36)   =   'x' batch

                                     x = 200/36 = 5.55 batches   

If you can only make whole batches, then you need to make 6 of them
in order to have at least 200 cookies.


d). There's more than one possible unit rate here:

--   2.25 cup flour per batch

--  0.75 cup flour per dozen cookies

--  0.0625 cup flour per cookie

--  16 cookies per cup flour

--  0.444 batch per cup flour

etc.