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.

 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. of the drink is apple juice and 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

Now,

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

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

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.