When on vacation, a traveler calculated his non-hotel daily expenses as follows: on a frugal day he could spend as little as $35, on an average day he would spend $50, and on a splurge day he would spend a minimum of $75

题目

When on vacation, a traveler calculated his non-hotel daily expenses as follows: on a frugal day he could spend as little as $35, on an average day he would spend $50, and on a splurge day he would spend a minimum of $75. If the traveler has at most $300 for a 5 day trip, what is the maximum number of splurge days he could have?

选项

解析

已知信息可以列出以下两个方程： $ 75x + 35y = 300 $ $ x + y = 5 $ 其中，$ x $代表“挥霍日”的天数，$ y $代表“节俭日”的天数为了最大化挥霍日的数量，我们只采用节俭日的花费标准（而非正常标准）。计算得$ x = 3.125 $，取整为3 答案：C

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