Question

PLEASE HELP ASAP!!!! Alex has an original recipe for a fruit drink with apple, orange, and pineapple juice. He makes new fruit drinks by mixing different quantities of the three juices.The table shows the amount of each juice in the recipe and in each drink. Select all the drinks that have the same proportion of apple to pineapple juices as Alex’s original recipe?
cups of cups of cups of

Drink // apple juice // Orange juice // pineapple juce


ORIGINAL = 1 1/4 -- 1 3/4 -- 1/2
RECIPE


DRINK 1 = 1 2/3 -- 2 1/3 -- 2/3

DRINK 2 = 2 1/2 -- 3 1/2 -- 1

DRINK 3 = 5 -- 7 -- 1

DRINK 4 = 1 1/3 -- 2 3/4 -- 1/3

DRINK 5 = 7/8 -- 2 5/8 -- 6/8


A/ Drink 1


B/ Drink 2


C/ Drink 3


D/ Drink 4


E/ Drink 5


F/ All of the drinks have the same proportion


G/ None of the drinks have the same proportion


SELECT ALL THAT APPLY!!!

Answer 1

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 = $1\frac{1}{4}$ = $\frac{5}{4}$

Orange juice = $1\frac{3}{4}$ = $\frac{12}{4}$ = 3

Pineapple juice = $\frac{1}{2}$

So, we get that,

The proportion of apple juice to pineapple juice in the original recipe is $\frac{\frac{5}{4}}{\frac{1}{2}}$ = $\frac{5}{2}$.

Now, according to the options , we will check which drink have apple to pineapple juice ratio equal to $\frac{5}{2}$.

Simplifying the mixed fraction into rational numbers, we get,

Drink A: $\frac{\frac{5}{3}}{\frac{2}{3}}$ = $\frac{5}{2}$.

Drink B: $\frac{\frac{5}{2}}{1}$ = $\frac{5}{2}$.

Drink C: $\frac{5}{1}$ = 5

Drink D: $\frac{\frac{4}{3}}{\frac{1}{3}}$ = $\frac{4}{1}$ = 4

Drink E: $\frac{\frac{7}{8}}{\frac{6}{8}}$ = $\frac{7}{6}$.

So, we see that,

Drinks A and B have the same proportion of apple to pineapple juice as that of the original recipe.