4.2 For Eeyore's Birthday, Winnie-the-Pooh, Owl, and Piglet decided to give balloons. Winnie-the-Pooh prepared three times as many balloons as Piglet, and Owl prepared four times as many balloons as Piglet. When Piglet was carrying his balloons, he was in a great hurry, stumbled, and some of the balloons burst. Eeyore received a total of 60 balloons for his party. How many balloons did Piglet end up giving?
# Answer: 4

Solution. If Piglet hadn't burst his balloons, then Eeyore would have received exactly 8 times more balloons than Piglet prepared. The next number after 60 that is a multiple of 8 is $64, 64: 8=8$, which means Piglet prepared no less than 8 balloons.

If all of Piglet's balloons had burst, then Eeyore would have received exactly 7 times more than Piglet prepared. If Piglet initially had 9 or more balloons, then even now Eeyore would have received at least 63 balloons, which is not the case. Therefore, Piglet prepared exactly 8 balloons. If everything had been fine, Eeyore would have received 64 balloons, but since 4 burst, it means Piglet gave 4 balloons.