Question

A cookie recipe that yields 24 cookies requires 1 3/4 cups of butter. When the ingredients in this recipe are increased proportionally, how many cups of butter are required for the recipe to yield 72 cookies?

Answer 1

Answer:

5 1/4

Step-by-step explanation:

* is multiplication

1 3/4 is 1.75

so

24/1.75 = 72/×

1.75 * 72 = 24 * x

126 = 24x

24x = 126

x = 5.25 or 5 1/4

Answer 2

Total $5\frac{1}{4}$ cups of butter required to make 72 cookies.

What is unitary method?

The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of .

According to the given question.

Number of cups or butter required for making 24 cookies = $1\frac{3}{4} =\frac{7}{4}$

⇒ Number of cups of butter required to make 1 cookie = $\frac{\frac{7}{4} }{24} =\frac{7}{(24)(4)}$

Therefore,

The number of cups of butter required to make 72 cookies

= $72$ × $\frac{7}{(24)(4)}$

= $\frac{21}{4}$

= $5\frac{1}{4}$

Hence, total $5\frac{1}{4}$ cups of butter required to make 72 cookies.

Find out more information about unitary method here:

https://brainly.com/question/22056199

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