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分柴火

Sharing Wood

专题
General / 综合
难度
L4

题目详情

A、B、C 三人同住并且所有东西平均分享。某天 A 带回 5 根柴，B 带回 3 根柴，C 没带柴。

他们用这些柴一起做饭并平分食物。由于 C 没带柴，他付 $8 作为补偿。

问：这 $8 应该给 A 多少、给 B 多少？

A. B & C live together and share everything equally. One day A brings home 5 logs of wood, B brings 3 logs and C brings none. Then they use the wood to cook together and share the food. Since C did not bring any wood, he gives $8 instead. How much to A and how much to B?

Hint

Its not 5 & 3

解析

A 得 7，B得7，B 得1。

总柴火 8 根，三人平分消耗，每人消耗 83\frac{8}{3} 根。

  • A 实际贡献给他人：5−83=735-\frac{8}{3}=\frac{7}{3}。
  • B 实际贡献给他人：3−83=133-\frac{8}{3}=\frac{1}{3}。

C 的 8元是为他消耗的柴火买单，按贡献比例8 元是为他消耗的柴火买单，按贡献比例\frac{7}{3}:\frac{1}{3}=7:1$ 分配即可。

Original Explanation

Solution

Since each person consumed 8/3 woods. A gave 5-8/3 = 7/3 woods to C and B gave 3-8/3 = 1/3 woods to C. So, Out of the 8 dollars, A gets 7 and B gets 1