Answer:
9 cups
Step-by-step explanation:
Given
[tex]1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups[/tex]
Required
Determine the number of cupcakes for 1 flour
Represent this with x
[tex]x = 1\ cup[/tex]
[tex]1\frac{1}{4}\ dozen\ cupcakes = 1\frac{2}{3}\ cups[/tex]
Cross Multiply
[tex]x * 1\frac{2}{3}= 1\frac{1}{4}\ dozen * 1[/tex]
[tex]1\frac{2}{3}x = 1\frac{1}{4}\ dozen[/tex]
Convert fractions to improper fraction
[tex]\frac{5}{3}x = \frac{5}{4}\ dozen[/tex]
Solve for x
[tex]x = \frac{5}{4} * \frac{3}{5}\ dozen[/tex]
[tex]x = \frac{3}{4}\ dozen[/tex]
[tex]1\ dozen = 12[/tex]
So, we have:
[tex]x = \frac{3}{4} * 12[/tex]
[tex]x = 9\ cups[/tex]
