# Problem Solving With Percentages The simplified ratio of freshmen to seniors would be 10 to 3.

The simplified ratio of freshmen to seniors would be 10 to 3.What percentage were sophomores in the Fall 2002 semester? So what would be the number of sophomores for the Fall 2002 semester?

Each sector represents the percentage that a category of data is of the whole pie. The graph below is a pie chart: Each sector of the circle represents the percentage of profits that the given ice cream flavor made.

The top sector shows that chocolate made 41% of the profits in 2002.

In this tutorial we will be solving problems involving percentages.

Since we are still problem solving, I will use Polya’s four steps to Problem Solving as introduced in Tutorial 15: Introduction to Problem Solving to step us through the percent problems in this tutorial.

He wants to buy a used guitar that has a price tag of \$220 on it.

## Canada Theses Library - Problem Solving With Percentages

Jeff wonders how much money the coupon will take off the original 0 price.Since 40 and 12 have a greatest common factor of 4, we can reduce this to be 10 to 3.Note that if you had started with 12 to 40, this would be incorrect.It is a good idea to be comfortable working with percents, you never know when you will be confronted with them. As mentioned above, since we are still problem solving, we will use the exact same four step process we used in Tutorial 15: Introduction to Problem Solving.To refresh your memory, here they are again: It is made up of a circle cut up in sectors.To do this, think about the relationship between multiplication and division.Look at the pairs of multiplication and division facts below, and look for a pattern in each row.In a percent problem, the base represents how much should be considered 100% (the whole); in exponents, the base is the value that is raised to a power when a number is written in exponential notation. Since the percent is the percent off, the amount will be the amount off of the price.In the example of 5The amount is the number that relates to the percent. Once you have an equation, you can solve it and find the unknown value.Percentage problems such as "50 is 20 percent of what number? Practice by solving the other problem, "What percent of 125 is 75? In this example, x is the unknown, is=75 ("is 75"), and "of"=125 ("of 125"). Teaching students an easy method of substitution will have them conquering percentage problems in no time. To submit your questions or ideas, or to simply learn more, see our about us page: link below.

## Comments Problem Solving With Percentages

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