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Question

There are 25 strawberry-flavored, 35 orange-flavored, and 36 pineapple-flavored sweet. How many maximum sweet packets can be made, each having same number of strawberry-flavored, orange-flavored and pineapple-flavored sweets?


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Solution

It is given that each sweet packet must have same number of strawberry-flavored, orange-flavored and pineapple-flavored sweets.

We need to find the common factor of 25,35 and 36 that can evenly divide all the numbers.

25=5×535=5×736=2×2×3×3

Hence, there is no common factor to all the three numbers, except 1.
These are relatively prime numbers.

Only one sweet packet can be made out of 25 strawberry-flavored, 35 orange-flavored and 36 pineapple-flavored sweets.

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