### Brain Teasers

# Bags of Candies

Michael has five bags of candies to give out. Four of the bags have a total of 84 candies. The fifth contains four candies less than the average of the five bags. How many candies are in the fifth bag?

### Answer

SixteenHide Answer Show Answer

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## Comments

Nice, I like that one!

Good one!

actually the correct answer is seventeen

I think the answer is wrong. I'm sorry but I get 79. What am I doing wrong? Email me at zembobo@yahoo.com

[84+84+84+84+(avg-4)]\5=avg

336+avg-4=5avg

332+avg=5avg

332=5avg-avg

332=4avg

avg=83 therefore, 5 less than that is 79.

[84+84+84+84+(avg-4)]\5=avg

336+avg-4=5avg

332+avg=5avg

332=5avg-avg

332=4avg

avg=83 therefore, 5 less than that is 79.

Ya, I'm sure of it now. The answer is definitly 79. Email me if you can't figure out why or if you don't know how to properly to averages. Double check your answers before you post them. zembobo@yahoo.com

Ok. Last post. Someone emailed and said that there are two ways to look at the problem. With that in mind, it could be either 16 (not 17) or 79. Sorry 'bout that everyone.

Stumped me!

gah, read that as 84 candies in each, which explains my thorough confusion, got it, sorry...

Very easy. Since the one bag has four less than the average, then the four bags must have four more than the average, making the answer (84-4)/4 - 4 = 16.

Say they all had 20 then that would be 100 candles. But if bag 5 has 4 less making sixteen then those 4 are redistributed to the other 4 bags making 84. Works for me! Good teaser.

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