[tex]\frac{3}{8}[/tex] cups of brown sugar needed for only 1 cup of flour
Solution:
To make banana bread, Colin uses [tex]\frac{3}{4}[/tex] of a cup of brown for every 2 cups of flour
To find: Amount of brown sugar should Colin use to make a small batch with only 1 cup of flour
Let "x" be the amount of brown sugar needed for only 1 cup of flour
From given information,
[tex]\text{ 2 cups of flour } = \frac{3}{4} \text{ cup of brown sugar }[/tex]
[tex]\text{1 cup of flour } = \text{ x cup of brown sugar }[/tex]
This forms a proportion and we can solve the sum by cross multiplying
[tex]1 \times \frac{3}{4} = 2 \times x\\\\x = \frac{3}{8}[/tex]
Thus [tex]\frac{3}{8}[/tex] cups of brown sugar needed for only 1 cup of flour