Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

1/3

of the drink is apple juice and

1/2

is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answer 1

1:2:3

Explanation:

Let

x -----> the quantity of apple juice

y ----> the quantity of orange juice

z ----> the quantity of cranberry juice

we know that

The sum of the fractions of each ingredient must be equal to 1 (100% of the drink)

so

(1/3)+(1/2)+z=1

Solve for z

z=1-(2+3)/6

z=1/6

therefore

1/6 of the drink is cranberry juice

Find the ratio of cranberry juice to apple juice to orange juice

z:x:y

substitute

1/6:1/3:1/2

Multiply by 6

1:2:3