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 2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.

Answer 1

Answer:7:4:8 in its simplest form.

Explanation:

To find the ratio of cranberry juice to apple juice to orange juice in the fruit punch drink, we need to determine the fractions representing each juice.

Given that 1/4 of the drink is apple juice and 2/5 is orange juice, we can calculate the fraction of cranberry juice by subtracting the sum of apple juice and orange juice from 1 (since the total drink is equal to 1).

1 - 1/4 - 2/5 = 20/20 - 5/20 - 8/20 = 7/20

Therefore, the ratio of cranberry juice to apple juice to orange juice is 7:4:8 in its simplest form.

Answer 2

7:5:8

Explanation:

We write as much of the ratio as we can.

apple : orange : cranberry

1/4 : 2/5 : x

Now we can find x.

Fraction of cranberry juice:

1 - (1/4 + 2/5) = 20/20 - (5/20 + 8/20) = 20/20 - 13/20 = 7/20

We write the complete ratio.

apple : orange : cranberry

1/4 : 2/5 : 7/20

Since 20 is the common denominator, we multiply all fractions by 20.

apple : orange : cranberry

1/4×20 : 2/5 × 20 : 7/20 × 20

Do the 3 multiplications.

apple : orange : cranberry

5 : 8 : 7

Now write the ratio in the order the problem asks.

cranberry : apple : orange

7 : 5 : 8

Answer: 7:5:8