Answer:
You will use [tex]\frac{1}{4}[/tex] cup of sugar.
Step-by-step explanation:
Given that:
A recipe calls for 3/4 cup of sugar and 1/2 cup of brown sugar.
Ratio of sugar to brown sugar = 3/4 : 1/2
Amount of brown sugar used = 1/6
Amount of sugar used = x
Ratio of sugar to brown sugar = x : 1/6
As the relationship is proportional;
[tex]\frac{3}{4}:\frac{1}{2}::x:\frac{1}{6}[/tex]
Product of mean = Product of extreme
[tex]\frac{1}{2}x=\frac{3}{4}*\frac{1}{6}\\\\\frac{1}{2}x = \frac{1}{8}\\\\x = \frac{1}{8}*2\\\\x=\frac{1}{4}[/tex]
Hence,
You will use [tex]\frac{1}{4}[/tex] cup of sugar.
