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

Answer 1

The ratio of cranberry juice to apple juice to orange juice in the fruit punch is 9:5:6.

Step-by-step explanation:

To find the ratio of cranberry juice to apple juice to orange juice, we need to determine the amounts of each ingredient in relation to each other.

The given information tells us that 1/4 of the drink is apple juice and 3/10 is orange juice.

To simplify the ratio, we can convert 1/4 and 3/10 to a common denominator of 20.

This gives us 5/20 for apple juice and 6/20 for orange juice.

The remaining 9/20 must be cranberry juice.

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

Answer 2

The ratio of cranberry juice to apple juice to orange juice in its simplest form is 4:5:6 after converting all fractions to a common denominator.

Step-by-step explanation:

First, let's calculate the ratio of cranberry juice in the drink. Since we know that 1/4 of the drink is apple juice and 3/10 of the drink is orange juice, we can find the fraction of the drink that is cranberry juice by subtracting these two fractions from 1 (which represents the whole drink).

1 - 1/4 - 3/10 = 2/4 - 3/10 = 5/10 - 3/10 = 2/10 = 1/5

Now that we have the fraction of cranberry juice, we can express the ratio of cranberry juice to apple juice to orange juice. We will convert the fractions to have a common denominator to make the numbers easier to compare.

Since the common denominator for 4, 10, and 10 is 20, we convert each fraction:

• Apple juice: 1/4 = 5/20
• Orange juice: 3/10 = 6/20
• Cranberry juice: 1/5 = 4/20

Therefore, the ratio of cranberry juice to apple juice to orange juice is 4:5:6.