Question

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

Answer 1

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Step-by-step explanation:

Given,

Sugar cups required for 24 cookies = $1\frac{1}{2}=\frac{3}{2}\ cups$

Ratio of sugar cups to cookies = $\frac{3}{2}:24$

Let,

x be the number of cups needed for 36 cookies.

Ratio of sugar cups to cookies = $x:36$

Using proportion;

Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies

$\frac{3}{2}:24::x:36$

Product of mean = Product of extreme

$24*x=\frac{3}{2}*36\\24x=54$

Dividing both sides by 24

$\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}$

Ginny needs $2\frac{1}{4}$ cups of sugar to make 36 cookies.

Keywords: fraction, proportion

Learn more about fractions at:

• brainly.com/question/96882
• brainly.com/question/96535

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Answer 2

Ginny need 2 1/4 sugar to make 36 of these cookies.

Given that,

Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies.

We have to determine,

How much sugar does Ginny need to make 36 of these cookies.

According to the question,

Let the amount of sugar required for 36 cookies is x.

Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies.

Therefore,

Amount of sugar required for 36 cookies is x = Amount cookie recipe requires 3\2 cups of sugar to make 24 cookies.

Then, The equation is,

$\dfrac{24}{\frac{3}{2}} = \dfrac{36}{x}\\\\\dfrac{24 \times 2}{3} = \dfrac{36}{x}\\\\\dfrac{48}{3} = \dfrac{36}{x}\\\\16 = \dfrac{36}{x}\\\\16 \times x = 36\\\\x = \dfrac{36}{16}\\\\\ x = \dfrac{9}{4}\\\\x = 2 \dfrac{1}{4}$

Hence, Ginny need 2 1/4 sugar to make 36 of these cookies.

To know more about Ratios click the link given below.

https://brainly.com/question/14965054