Question

if 1 cup of milk is added to a 3-cup mixture that is 2/5 flour and 3/5 milk, what percent of the 4 cup mixture is milk?

Answer 1

The percentage of milk in the 4-cup mixture is 70%

Explanation

In 3-cup mixture, 2/5 part is flour and 3/5 part is milk.

So, the amount of flour $=(\frac{2}{5}*3)cups= \frac{6}{5}cups$ and

the amount of milk $=(\frac{3}{5}*3)cups= \frac{9}{5}cups$

Now, 1 cup of milk is added to this 3-cup mixture. So, the total amount of milk will be: $(\frac{9}{5}+1)cups= \frac{14}{5}cups$

Thus, the percentage of milk in the 4-cup mixture  $=\frac{\frac{14}{5}}{4}*100 = \frac{14}{20}*100= 70$%