SAT数学题目,答得详细清楚的会追加分数

来源：百度知道 编辑：UC知道 时间：2024/05/26 05:16:45
in an art class, there were just enough staplers, rulers and glue bottles so that every 2 students had to share a stapler, every 3 students had to share a ruler, and every 4 students had to share a glue bottle. if the sum of the number of staplers, rulers, and glue bottles used by the class was 65, how many students were in the class?
答案是60,为什么?

因为每2个学生共用一个订书机，每3个学生共用一把尺子，每4个学生共用一个胶水瓶，而订书机，尺子，胶水瓶总数为65，分别设订书机，尺子，胶水瓶有x,y,z个,x+y+z=65 2x=3y=4z 解方程求解

有2个学生共用一台stapler 设stapler 为X个
有3个学生共用一台ruler 设ruler 为Y个
有4个学生共用一台bottle 设bottle 为Z个 再设学生总数为Q个
则有 X+Y+Z=65,2X=Q,3Y=Q,4Z=Q,所以有Q/2+Q/3+Q/4=65 故解得Q=60
呵呵 需要英文的话去Google翻译一下就可以了