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):
[tex]\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}[/tex]
or, m = 16/15 cups
Hence, for 1 pounds of flour, the amount of sugar needed is 16/15 cups .
