*This, of course, means looking for clue words as outlined in the previous section.*Once you’ve identified your clue words, highlight or underline them.Problem 4A farming field can be ploughed by 6 tractors in 4 days.

*This, of course, means looking for clue words as outlined in the previous section.*Once you’ve identified your clue words, highlight or underline them.Problem 4A farming field can be ploughed by 6 tractors in 4 days.

If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon? This must be equal to 360.$3x = 360$$x = \frac$$x = 120$ Therefore, the salesman sold 120 kg in the morning and $2\cdot 120 = 240$ kg in the afternoon. Together the three of them picked 26 kg of chestnuts. So $x 2x x 2=26$$4x=24$$x=6$ Therefore, Peter, Mary, and Lucy picked 6, 12, and 8 kg, respectively.

Solution: Let $x$ be the number of kilograms he sold in the morning. Problem 2 Mary, Peter, and Lucy were picking chestnuts. Solution: Let $x$ be the total number of pages in the book, then she finished $\frac\cdot x$ pages.

Then she has $x-\frac\cdot x=\frac\cdot x$ pages left.

$\frac\cdot x-\frac\cdot x=90$ $\frac\cdot x=90$ $x=270$So the book is 270 pages long.

Many problems are multistep and require some type of systematic approach.

There are a couple of things you need to do when solving problems.

This will let you know what kind of problem you’re dealing with.

Then do the following: Read the problem carefully, and decide on a method to solve the problem.

These techniques may involve reorganizing a problem into simpler terms, breaking a problem into steps, making a plan about how to proceed, determining the best way to solve a problem, pulling out key ideas, etc.

Being systematic in problem solving requires students to: Systematic problem solving often involves "step-wisdom," knowing that the best way to solve a particular problem may be to break it up into a series of logical steps, rather than to try to solve it all at once.

## Comments Sample Problem Solving In Math

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