### Brain Teasers

# How Many Candies?

Rob the robot went to the candy-store to buy some candies. He found his favorite gums in front of him, in packages of 225 gums in each.

Though extremely intelligent, he is still a robot, thus capable of using only 1's and 0's.

What is the minimum number of gums that Rob ate that day if he finished all of his packages, and the number of gums contained nothing but 1's and 0's?

Oh yes, and you can't cheat and use binary notation. The answer is in base 10, but still only uses 1's and 0's.

Though extremely intelligent, he is still a robot, thus capable of using only 1's and 0's.

What is the minimum number of gums that Rob ate that day if he finished all of his packages, and the number of gums contained nothing but 1's and 0's?

Oh yes, and you can't cheat and use binary notation. The answer is in base 10, but still only uses 1's and 0's.

### Hint

Think of the factors of 225, and kids, don't try this at home (or you would suffer from a severe stomach ache).### Answer

11,111,111,100This contains nine ones, so it is divisible by 9, and two 0's at the end, so it is divisible by 25.

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