SOLUTION: Mary created a mixture using 3/4c of sugar and 1/2c of cinnamon to add to some hot apple cider.If Mary uses 1/16 of a cup of her mixture for each serving of hot apple cider, how ma

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Mary created a mixture using 3/4c of sugar and 1/2c of cinnamon to add to some hot apple cider.If Mary uses 1/16 of a cup of her mixture for each serving of hot apple cider, how ma      Log On


   

Question 1167921: Mary created a mixture using 3/4c of sugar and 1/2c of cinnamon to add to some hot apple cider.If Mary uses 1/16 of a cup of her mixture for each serving of hot apple cider, how many servings can she use her mixture with?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

I will assume that when she mix these dry ingredients, the volume of the mixture is equal to the sum
of the volumes of ingredients.



    It is really an assumption, since it is NOT ALWAYS true for dry ingredients.



Under with assumption, the volume of the mixture is  3%2F4+%2B+1%2F2 cups = 3%2F4+%2B+2%2F4 = 5%2F4 cups.


Next, to determine the number of servings, we should divide this volume by one quantum volume of  1%2F16 of a cup.


We will obtain then the number of the servings as


    %28%285%2F4%29%29%2F%28%281%2F16%29%29 = %285%2A16%29%2F4 = 5*4 = 20 servings.    ANSWER


Learn how to add and divide fractions from my post (!)