A juice shop makes 8 liters of mango juice, 12 liters of apple juice and 20 liters of orange juice. What is the maximum amount of juice that can be equally filled in containers, such that each container has only kind of juice?

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Solution

The correct option is C 4
To solve this problem, first we have to break down all the numbers into their prime factors.

The prime factorization of 8 is:
2 × 2 × 2
The prime factorization of 12 is:
2 × 2 × 3
The prime factorization of 20 is:
2 × 2 × 5

Thus, the greatest common divisor of 8, 12 and 20 is:
2 × 2 = 4

Hence, each container can have 4 litres of juice.

Additionally,
Number containers with mango juice
= 8 ÷ 4 = 2
Number containers with apple juice
= 12 ÷ 4 = 3
Number containers with orange juice
= 20 ÷ 4 = 5

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