Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies. How much sugar does Ginny need to make 36 of these cookies?

Respuesta :

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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