Answer:
Step-by-step explanation:
A recipe for a batch of 3 dozen chocolate chip cookies calls for [tex]3\frac{1}{2}[/tex] cups of flour, 1 cup of sugar and [tex]2\frac{3}{4}[/tex] cups of chocolate chips.
We will calculate for each ingredients by unitary method.
∵ flour used in 3 dozen cookies = [tex]3\frac{1}{2}[/tex] or [tex]\frac{7}{2}[/tex] cups
∴ flour used in 1 dozen cookies = [tex]\frac{7/2}{3}[/tex] cups
∴ flour used in 2 dozen cookies = [tex]\frac{7/2}{3}[/tex] × 2
= [tex]\frac{7}{6}[/tex] × 2
= [tex]\frac{14}{6}[/tex]
= [tex]\frac{7}{3}[/tex]
= [tex]2\frac{1}{3}[/tex] cups
∵ sugar is used in 3 dozen cookies = 1 cup
∴ sugar is used in 1 dozen cookies = [tex]\frac{1}{3}[/tex]
∴ sugar is used in 2 dozen cookies = [tex]\frac{1}{3}[/tex] × 2
= [tex]\frac{2}{3}[/tex] cups
∵ chocolate chips are used in 3 dozen cookies = [tex]2\frac{3}{4}[/tex] = [tex]\frac{11}{4}[/tex] cups
∴ in 1 dozen cookies chocolate chips used = [tex]\frac{11/4}{3}[/tex]
∴ in 2 dozen cookies chocolate chips used = [tex]\frac{11/4}{3}[/tex] × 2
= [tex]\frac{11}{12}[/tex] × 2
= [tex]\frac{11}{6}[/tex]
= [tex]1\frac{5}{6}[/tex] cups
To make 2 dozen cookies each ingredient should be used :
[tex]2\frac{1}{3}[/tex] cups of flour
[tex]\frac{2}{3}[/tex] cups of sugar
[tex]1\frac{5}{6}[/tex] cups of chocolate chips
