Problem Solving
I chose this problem as my favorite problem because it pairs basic algebra concepts with problem solving. The most difficult part of the problem is determining the formulas that will represent the inheritances of each son. Once the equations are created it just takes fairly simple algebra, but it is the critical thinking involved in the problem that is most important. This problem helps to show that math can be so much more than just solving equations. It really can be problem solving. In this case, we are determining a new way to split an inheritance that may not be conventional but does work.
I feel that looking at math as more than just a means to a solution, but rather a way to problem solve and critically think, is the best way to keep students interested. Problem solving with math is a very important life skill and anytime that we can show our students this importance it can be extreme beneficial to them in school, as well as in life.
I feel that looking at math as more than just a means to a solution, but rather a way to problem solve and critically think, is the best way to keep students interested. Problem solving with math is a very important life skill and anytime that we can show our students this importance it can be extreme beneficial to them in school, as well as in life.
My Favorite Problem
An Unusual Inheritance
A man dies and leaves his estate to his sons.
The estate is divided as follows:
The 1st son gets $100,000 from the estate + 10 % of what is left of that estate.
After the first son gets his share,
The 2nd son gets $200,000 dollars from what is remaining of the estate + 10 % of what is left after that.
So,
The nth son gets $100,000 × n dollars + 10% of what is left of the estate
If each son receives same amount, answer the following questions:
1) How much did each son receive?
2) What was the total amount of the estate?
3) How many sons were there?
Hints
Solution
A man dies and leaves his estate to his sons.
The estate is divided as follows:
The 1st son gets $100,000 from the estate + 10 % of what is left of that estate.
After the first son gets his share,
The 2nd son gets $200,000 dollars from what is remaining of the estate + 10 % of what is left after that.
So,
The nth son gets $100,000 × n dollars + 10% of what is left of the estate
If each son receives same amount, answer the following questions:
1) How much did each son receive?
2) What was the total amount of the estate?
3) How many sons were there?
Hints
Solution