Answer:
3:4:7
Step-by-step explanation:
The 3 ingredients are apple juice, orange juice and cranberry juice. If [tex]\frac{2}{7}[/tex] of the drink is apple juice and [tex]\frac{1}{2}[/tex] is orange juice, then
[tex]1-\dfrac{2}{7}-\dfrac{1}{2}=\dfrac{1}{2}-\dfrac{2}{7}=\dfrac{7-4}{14}=\dfrac{3}{14}[/tex]
is cranberry juice.
The ratio of cranberry juice to apple juice to orange juice is
[tex]\dfrac{3}{14}:\dfrac{2}{7}:\dfrac{1}{2}=\dfrac{3}{14}:\dfrac{4}{14}:\dfrac{7}{14}=3:4:7.[/tex]
