Math Problem Statement

你好,我要和一个朋友分摊一下洗衣机的钱,请帮我出一个公平的方案: 我和她在2024年9月1日购买了一台500元的洗衣机,我们会共同使用它直到25年2月1日,然后这台洗衣机将由她一个人拥有,我将不再使用; 请问我和她应该各自承担多少钱?

Solution

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Math Problem Analysis

Mathematical Concepts

Proportional Division
Depreciation
Time-Based Cost Allocation

Formulas

Your share = Total cost × (Your usage time / Total estimated lifespan)
Her share = Total cost × ((Total estimated lifespan - Your usage time) / Total estimated lifespan)

Theorems

Proportional Distribution Theorem

Suitable Grade Level

Grades 10-12