英语翻译Al and Bo,who together have $168,bet against eachother.Each bets the same fraction of his money as the other bets.If Al wins,he'll have double what Bo then has.If Bo wins,he'll have triple what Al then has.How many dollars does Al have to

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英语翻译AlandBo,whotogetherhave$168,betagainsteachother.Eachbetsthesamefractionofhismoneyastheotherbets.

英语翻译Al and Bo,who together have $168,bet against eachother.Each bets the same fraction of his money as the other bets.If Al wins,he'll have double what Bo then has.If Bo wins,he'll have triple what Al then has.How many dollars does Al have to
英语翻译
Al and Bo,who together have $168,bet against eachother.Each bets the same fraction of his money as the other bets.If Al wins,he'll have double what Bo then has.If Bo wins,he'll have triple what Al then has.How many dollars does Al have to start?

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做得比较繁琐，好久没有做数学题目了。
先假设AI有X$,Bo有Y$，所以可以得出X+Y=168
然后假设AI拿出a$去bet,Bo拿出b$ 可以得出a/X=b/Y
根据后面If Al wins, he'll have double what Bo then has得出X+b=2(Y-b)，因此b=(2Y-X)/3
根据If Bo wins, he'll have triple what Al then has得出3(X-a)=Y+a，因此a=(3X-Y)/4
到这里为止，a和b都可以用X和去表示。把a和b的等式代入a/X=b/Y,最后可以变成(Y+X)(3Y-4X)=0，之前已经知道X+Y=168，所以可以得出3Y-4X=0
最后通过3Y-4X=0和X+Y=168可以得出X=72$，Y=96$
答案就是AI最开始有72$，他拿出了其中的30$去bet
Bo最开始有96$，他拿出了其中的40$去bet.

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AI和BO一共有168美元，他们在一起赌博。每人的赌注和他自己下注的部分一样，另一人也如此。如果AI赢了，他的钱将会是BO的两倍，如果BO赢了，他的钱将是AI的三倍。那么AI开始应该下注多少？
假设AI有x元，BO有y元，AI开始下注a元，则有
x+y=168
x+a=2（y-a）
3（x-a）=y+a
解得a=35 x=77 y=91元
所以AI首...

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首先是，AI和BO他们俩个的钱数加在一起是168美元，彼此之间打赌，每次打赌的金额都与彼此相同（你出多少我出多少，the same ....as短语）。如果AI赢了，他将赢得BO本金的两倍，但如果BO赢了，他将赢得AI本金的三倍。问AI开始时有多少钱？
这题好像不太难，题干首先就给明了AI和BO的钱数加在一起是168美元，用168÷2＝84，如果AI赢了得BO手中两倍赌注，84×2＝168，BO赢了得AI手中的三倍赌注84×3＝252，最后问题是AI开始时手中有多钱，就是84美金了！
所以答案是84美金。它问的DOUBLE, TRIPLE什么的都是迷惑你的，与问题没关系。

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