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: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 poundsthe amount of brown sugar used = 4/ 5 cupsSo, the ratio of Flour : Brown Sugar  =  3/ 4 pounds : 4/ 5 cups    .....  (1)Similarly, if the amount of flour used = 1 poundLet us assume the amount of brown sugar used =  m cupsSo, 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 .