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

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

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):

`((3)/(4))/((4)/(5))   = (1)/(m) \\\implies   (3)/(4) *(5)/(4)  = (1)/(m)\\or, (15)/(16)  = (1)/(m)\\\implies m = 1 * (16)/(15) =  (16)/(15)`

or, m = 16/15 cups

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