Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4 of the drink is apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answer 1

Answer:

hope this will help you

Step-by-step explanation:

The required ratio in simplest form is 7 : 5 : 8.

Step-by-step explanation: Given that in a fruit punch drink, the 3 ingredients are apple juice orange juice and cranberry juice. \frac{1}{4} of the drink is apple juice and \frac{2}{5} is orange juice.

We are to find the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Let x, y and z be the fractions of the cranberry juice, apple juice and orange juice in the fruit punch drink.

Then, according to the given information, we have

y=\dfrac{1}{4},~~z=\dfrac{2}{5}.

Now,

x+y+z=1\\\\\\\Rightarrow x+\dfrac{1}{4}+\dfrac{2}{5}=1\\\\\\\Rightarrow x=1-\dfrac{1}{4}-\dfrac{2}{5}\\\\\\\Rightarrow x=\dfrac{20-5-8}{20}\\\\\\\Rightarrow x=\dfrac{7}{20}.

Therefore, the ratio of cranberry juice to apple juice to orange juice is given by

x:y:z\\\\\\=\dfrac{7}{20}:\dfrac{1}{4}:\dfrac{2}{5}\\\\\\=\dfrac{7}{20}:\dfrac{5}{20}:\dfrac{8}{20}\\\\=7:5:8.

Thus, the required ratio in simplest form is 7 : 5 : 8.

Answer 2

Answer:

7 : 5 : 8.

Step-by-step explanation: