Question

A recipe for a batch of 3 dozen chocolate chips cookies calls for 3 cups of flour, 1 cup of sugar, and 2 cups of chocolate chips. How much of each ingredient should be used to make 2 dozen cookies?

Answer 1

bearing in mind that a whole is simply same/same or just 1.

3 dozen, there are 3 dozens in 3 dozen, obviously

dozen dozen dozen.

in 2 dozens, there are 2 of course

dozen dozen.

if 3 dozens is three thirds namely 3/3 = 1 = whole, then 2 dozens is just two of those dozens, namely two thirds, 2/3.

so if we use that many ingredients to make a whole three thirds, how much will it be to make only two thirds of it? well, is simply their product, so we'll simply multiply each ingredient amount by 2/3.

`\bf \stackrel{flour}{3\cdot (2)/(3)}\qquad \stackrel{sugar}{1\cdot (2)/(3)}\qquad \stackrel{chips}{2\cdot (2)/(3)}\qquad \implies \qquad \stackrel{flour}{2}\qquad \stackrel{sugar}{(2)/(3)}\qquad \stackrel{chips}{(4)/(3)}`