1[tex]\frac{3}{4}[/tex] cups of sugar is used in 1 cake.
Step-by-step explanation:
Given,
10[tex]\frac{1}{2}[/tex] cups of sugar is used in 6 cakes.
To find the amount of sugar used in one cake.
10[tex]\frac{1}{2}[/tex] = [tex]\frac{21}{2}[/tex] cups
We apply unitary method.
Now,
In 6 cakes 10[tex]\frac{1}{2}[/tex] cups of sugar is used.
The sugar used in 1 cake = [tex]\frac{21}{2}[/tex]÷ 6 cups
= [tex]\frac{21}{2}[/tex] × [tex]\frac{1}{6}[/tex]
= [tex]\frac{7}{4}[/tex] = 1[tex]\frac{3}{4}[/tex] cups of sugar
