Question

Alexis is making a cake and needs 4/5 cups of brown sugar for every 3/4 pounds of flour. How much brown sugar will be needed for 1 pound of flour?

Answer 1

Answer:

For 1 pounds of flour, the amount of sugar needed is 16/15 cups .

Step-by-step explanation:

Here, for the amount of flour used = 3/ 4 pounds

the amount of brown sugar used = 4/ 5 cups

So, the ratio of Flour : Brown Sugar  =  3/ 4 pounds : 4/ 5 cups    .....  (1)

Similarly, if the amount of flour used = 1 pound

Let us assume the amount of brown sugar used =  m cups

So, the ratio of Flour : Brown Sugar  = 1 pounds : m cups    .....  (2)

Now, by the RATIO OF PROPORTION from (1) and (2):

$\frac{\frac{3}{4}}{\frac{4}{5}} = \frac{1}{m} \\\implies \frac{3}{4} \times\frac{5}{4} = \frac{1}{m}\\or, \frac{15}{16} = \frac{1}{m}\\\implies m = 1 \times \frac{16}{15} = \frac{16}{15}$

or, m = 16/15 cups

Hence, for 1 pounds of flour, the amount of sugar needed is 16/15 cups .