A recipe for cookies calls for 2⁄3 of a cup of chocolate chips and 4 cups of flour. If you want to make a bigger batch, using 6 cups of flour, how many cups of chocolate chips will you need?
Answer: It needs \(\dfrac{1}{2}\) cups of chocolate chips for 6 cups of flour.
Step-by-step explanation:
Since we have given that
Number of cups of flour needed for \(\dfrac{2}{3}\) of cup of chocolate chips = 4
We need to find the number of cups of chocolate chips he needs for 6 cups of flour.
Since there is direct relation between cups of chocolate chips and cup of flour.
\(\dfrac{\dfrac{2}{3}}{4}=\dfrac{x}{6}\\\\\dfrac{1}{12}=\dfrac{x}{6}\\\\x=\dfrac{6}{12}=\dfrac{1}{2}\)
Hence, it needs \(\dfrac{1}{2}\) cups of chocolate chips for 6 cups of flour.