4.3 For Eeyore's Birthday, Winnie-the-Pooh, Owl, and Piglet decided to give balloons. Winnie-the-Pooh prepared twice 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 44 balloons for his party. How many balloons did Piglet end up giving?
# Answer: 2

Solution. If Piglet hadn't burst his balloons, then Eeyore would have received exactly 7 times more balloons than Piglet prepared. The next number after 44 that is a multiple of 7 is 49, $49: 7=7$, which means Piglet prepared no less than 6 balloons.

If all of Piglet's balloons had burst, then Eeyore would have received exactly 6 times more than Piglet prepared. If Piglet initially had 8 or more balloons, then even now Eeyore would have received at least 48 balloons, which is not the case. Therefore, Piglet prepared exactly 7 balloons. If everything had been fine, Eeyore would have received 36 balloons, but it turned out that 5 burst, so Piglet gave 2 balloons.