Ginny needs [tex]2\frac{1}{4}[/tex] cups of sugar to make 36 cookies.
Step-by-step explanation:
Given,
Cups of sugar required to make 24 cookies = [tex]1\frac{1}{2}=\frac{3}{2}\ cups[/tex]
Ratio of cups to cookies = [tex]\frac{3}{2}:24[/tex]
Let,
x be the cups of sugar required to make 36 cookies
Ratio of cups to cookies = x:36
Using proportion;
Ratio of cups to cookies :: Ratio of cups to cookies
[tex]\frac{3}{2}:24::x:36[/tex]
Product of mean = Product of extreme
[tex]24*x=\frac{3}{2}*36\\24x=54[/tex]
Dividing both sides by 24
[tex]\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}[/tex]
Ginny needs [tex]2\frac{1}{4}[/tex] cups of sugar to make 36 cookies.
Keywords: fraction, ratio
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