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.

1:2:3

Step-by-step 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

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step-by-step explanation:

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