Question

Lauren uses1/3cup of carrot juice for every2/3cup of apple juice to make a fruit drink.Enter the number of cups of carrot juice Lauren uses for 1 cup of apple juice,

Answer 1

1/3 cup of carrot juice ---------------------------------->2/3 cup of apple juice

x cups of carrot juice ----------------------------------->1 cup of apple juice

Using cross multiplication:

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

solve for x:

$\begin{gathered} x=\frac{\frac{1}{3}}{\frac{2}{3}} \\ x=\frac{3}{6} \\ x=\frac{1}{2} \end{gathered}$

She uses 1/2 cups of carrot juice for 1 cup of apple juice