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 3/10 orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.

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Step-by-step explanation:

the ratio of cranberry to apple to orange juice is 9: 5: 6.

or 5/6

In order to compare the amounts of juices in the drink and determine the fraction of juice the is cranberry, we need to first find the lowest common denominator of the first two fractions: 1/4 and 3/10.  The lowest common denominator of 4 and 10 is 20.  Using a common denominator of 20, 1/4 becomes 5/20 (by multiplying numerator and denominator by 5) and 3/10 becomes 6/20 (by multiplying numerator and denominator by 2).  Since we now know that 11/20 of juice is either orange or apple, than 9/20 of the juice must be cranberry for a total of 20/20.  When writing a ratio to compare these fractions, we just use the numerator to get 9: 5: 6 or 9parts cranberry to 5 parts apple to 6 parts orange.  

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step-by-step explanation: