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HMMT 二月 2000 · GEN 赛 · 第 4 题

HMMT February 2000 — GEN Round — Problem 4

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Ti k ets for the fo otball game are 10forstudentsand10 for studen ts and15 for non-studen ts. If 3000 fans attend and pa y $36250, ho w man y studen ts w en t?
解析
  1. Let x b e the n um b er of studen ts and y b e the n um b er of non-studen ts. W e then ha v e the equations x + y = 3000 and 10 x + 15 y = 36250. Substituting, w e nd that 10(3000 y ) + 15 y = 36250, or 30000 10 y + 15 y = 36250, so 30000 + 5 y = 36250. So, 5 y = 6250, and y = 1250, so x = 1750 .