每周数学（二）：The CHOCOLATE BARS。10/01/2015

每周数学（二）10/01/2015
Maths Questions for your children
👍誏儿孙们思考的数学！

Q1. A Mathematics teacher had a certain number of CHOCOLATE BARS, he gave them to the top three students as prizes.
The top students received two third of the chocolate bars plus one third of a bar , the second student received two third of the remaining plus one third of a bar, and the third student received  two third of the remaining plus one third of a bar and had received only one bar of chocolate.
How many chocolate bars did the teacher have initially?

Q2 Similar to question 1,
If the teacher have to give away chocolate bars as prizes to 4 or 5 top students, how many chocolate bars must he have?
Q3 Similarly, what happen if the pattern of 2/3 changes to 3/4 or 4/5?

数学每周（二）10/01/2015

给孩子的数学题

👍誏儿孙们思考的数学！

 一位数学老师有一定数量的巧克力棒，他把它们作为奖品发给了前三名的学生。

最优秀的学生得到所有巧克力棒的三分之二加上一塊巧克力棒的三分之一，第二名学生得到剩余的三分之二和一塊巧克力棒的三分之一，第三名学生得到剩下的三分之二和一块巧克力棒的三分之一， 只收到了一块巧克力。

老师最初有多少块巧克力？

Q2 与问题 1 类似，

如果老师必须将巧克力棒作为奖品分发给 4 或 5 名优等生，那么他必须拥有多少块巧克力棒？

Q3 同样，如果 2/3 的模式变为 3/4 或 4/5 会发生什么？

💝
请享受解题的美妙过程！
Please enjoy the thinking process, the approaches and concepts.  😄
祝福安康

Solutions:

*Chocolate bars*

1.       3.         9.        27.  ....

1.       4.         13.      40 ....

13x(2/3)+1/3 =9

13-9=4

4x(2/3)+1/3 =3

4-3=1

1x(2/3)+1/3 =1