Answer:
A. Drink 1
B. Drink 2
Step-by-step explanation:
We are given that,
The quantities of fruit juice in original recipe are:
Apple juice = [tex]1\frac{1}{4}[/tex] = [tex]\frac{5}{4}[/tex]
Orange juice = [tex]1\frac{3}{4}[/tex] = [tex]\frac{12}{4}[/tex] = 3
Pineapple juice = [tex]\frac{1}{2}[/tex]
So, we get that,
The proportion of apple juice to pineapple juice in the original recipe is [tex]\frac{\frac{5}{4}}{\frac{1}{2}}[/tex] = [tex]\frac{5}{2}[/tex].
Now, according to the options , we will check which drink have apple to pineapple juice ratio equal to [tex]\frac{5}{2}[/tex].
Simplifying the mixed fraction into rational numbers, we get,
Drink A: [tex]\frac{\frac{5}{3}}{\frac{2}{3}}[/tex] = [tex]\frac{5}{2}[/tex].
Drink B: [tex]\frac{\frac{5}{2}}{1}[/tex] = [tex]\frac{5}{2}[/tex].
Drink C: [tex]\frac{5}{1}[/tex] = 5
Drink D: [tex]\frac{\frac{4}{3}}{\frac{1}{3}}[/tex] = [tex]\frac{4}{1}[/tex] = 4
Drink E: [tex]\frac{\frac{7}{8}}{\frac{6}{8}}[/tex] = [tex]\frac{7}{6}[/tex].
So, we see that,
Drinks A and B have the same proportion of apple to pineapple juice as that of the original recipe.
