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?

Answer 1

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.

$25=5\times 535=5\times 736=2\times 2\times 3\times 3$

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

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