Question

Carol is baking cookies and needs 2 1/4 cups of flour 2/3 cup of white sugar 1/4 cup of brown sugar and 1/16 cup of baking soda use this information to answer the following questions
1) divide the amount of white sugar by the amount of brown sugar. what is the quotient? (must be a fraction)

2) If the amount of white sugar were increased by a factor of 2 1/2, in cups, how much white sugar would there be? (must be a fraction)

3)If the amount of FLOUR were increased by a factor of 2 1/2, in cups how much flour would there be? (must be fraction)

4)If only 1/4 the amount of BROWN Sugar in the recipe were used, how much brown sugar would be used? (must be a fraction)

5)If only 1/4 of the amount of baking soda in the recipe were used, how much baking soda would be used?(must be a fraction)

Answer 1

1) Amount of white sugar ÷ the amount of brown sugar =

$\frac{2}{3}$÷$\frac{1}{4}$

=$\frac{2}{3}.\frac{4}{1}= \frac{8}{3}=2\frac{2}{3}.$

2)Amount of white sugar after increase =

$\frac{2}{3}+2\frac{1}{2}=\frac{2}{3}+\frac{5}{2}=\frac{19}{6}=3\frac{1}{6}.$

3)Amount of flour after increase=$2\frac{1}{4}+2\frac{1}{2}=\frac{9}{4}+\frac{5}{2}=\frac{19}{4}=4\frac{3}{4}.$

4) Amount of brown sugar =

$\frac{1}{4}$ cup.$\frac{1}{4}of\frac{1}{4}=\frac{1}{16}$

$\frac{1}{16}$ cup was used .

5)Amount of Baking soda used=

$\frac{1}{4}of\frac{1}{16}=\frac{1}{64}$