Answer:
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
