The ratios of punch mix to water for several fruit drinks are given. Punch Mix Mix Water Grape 1 cup 3 cups Cherry 5 cups 12 cups Lemon 7 cups 12 cups Orange 2 cups 3 cups Which flavor has the smallest ratio of mix to water?

Answer:
Step-by-step explanation:We have been given the ratios of punch mix to water for several fruit drinks as : Grape mix (1 cups to 3 cups), Cherry mix (5 cups to 12 cups), Lemon mix (7 cups to 12 cups) and Orange mix (2 cups to 3 cups).To find which flavor has the smallest ratio of mix to water let us compare all the given proportions by having a common base.  [tex]\text{Proportion of grape, cherry, lemon and orange mixes to water respectively}=\frac{1}{3} ,\frac{5}{12},\frac{7}{12} ,\frac{2}{3}[/tex]   Now let us have a common denominator 12 as LCM of 3 and 12 is 12.  [tex]\text{Proportion of grape, cherry, lemon and orange mixes to water respectively}=\frac{1*4}{3*4} ,\frac{5}{12},\frac{7}{12} ,\frac{2*4}{3*4}[/tex][tex]\text{Proportion of grape, cherry, lemon and orange mixes to water respectively}=\frac{4}{12} ,\frac{5}{12},\frac{7}{12} ,\frac{8}{12}[/tex]We can see that grape mix has the smallest proportion of mix to water, therefore, grape mix will be the correct choice.