Mathematics, 14.10.2019 07:30 ineedtograduate2020

Arecipe for a batch of 3 dozen chocolate chip cookies calls for 3 1/2 cups of flour, 1 cup of sugar, and 2 3/4 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies?

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Answer from: sregan07

3 doz = 36 cookies, 2 doz = 24 cookies

36/3.5 = 24/x
36x = 84
x = 84/36
x = 2.33 = 2 1/3so for 2 doz, u need 2 1/3 cups flour

36/1 = 24/x
36x = 24
x = 24/36
x = .666 = 3/5...and 3/5 cup of sugar

36/2.75 = 24/x
36x = 66
x = 66/36
x = 1.83 cups of chocolate chips

Answer from: idjfjcjs584

Step-by-step explanation:

A recipe for a batch of 3 dozen chocolate chip cookies calls for $3\frac{1}{2}$ cups of flour, 1 cup of sugar and $2\frac{3}{4}$ cups of chocolate chips.

We will calculate for each ingredients by unitary method.

∵ flour used in 3 dozen cookies = $3\frac{1}{2}$ or $\frac{7}{2}$ cups

∴ flour used in 1 dozen cookies = $\frac{7/2}{3}$ cups

∴ flour used in 2 dozen cookies = $\frac{7/2}{3}$ × 2

= $\frac{7}{6}$ × 2

= $\frac{14}{6}$

= $\frac{7}{3}$

= $2\frac{1}{3}$ cups

∵ sugar is used in 3 dozen cookies = 1 cup

∴ sugar is used in 1 dozen cookies = $\frac{1}{3}$

∴ sugar is used in 2 dozen cookies = $\frac{1}{3}$ × 2

= $\frac{2}{3}$ cups

∵ chocolate chips are used in 3 dozen cookies = $2\frac{3}{4}$ = $\frac{11}{4}$ cups

∴ in 1 dozen cookies chocolate chips used = $\frac{11/4}{3}$

∴ in 2 dozen cookies chocolate chips used = $\frac{11/4}{3}$ × 2

= $\frac{11}{12}$ × 2

= $\frac{11}{6}$

= $1\frac{5}{6}$ cups

To make 2 dozen cookies each ingredient should be used :

$2\frac{1}{3}$ cups of flour

$\frac{2}{3}$ cups of sugar

$1\frac{5}{6}$ cups of chocolate chips

Answer from: Quest

Ihave, but this question is gonna probably get deleted.

Answer from: Quest

just sum

10 + 10 = 20

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