# Problem Solving With Percentages

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?

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Interest rates on a saving account work in the same way.

The more money you put in your account, the more money you get in interest.

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.

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

Jeff wonders how much money the coupon will take off the original 0 price.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.Percent problems can also be solved by writing a proportion.A proportion is an equation that sets two ratios or fractions equal to each other.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.The bottom right sector shows that vanilla made 29% of the profits in 2002.The bottom left sector shows that strawberry made 30% of the profits in 2002. In the Fall 2002 semester, what was the ratio of freshmen to seniors at the college? If the number of sophomores in the Fall 2002 semester was 20% higher than the number of sophomores in the Fall 2001 semester, how many sophomores were enrolled in Fall 2001? If the areas of sectors in the circle graphs are drawn in proportion to the percentages shown, what is the measure, in degrees, of the central angle sector representing the percentage of juniors?Perhaps you thought 18 was the percent and 125 was the base.The correct percent fraction for the proportion is Jeff has a coupon at the Guitar Store for 15% off any purchase of 0 or more.

## Comments Problem Solving With Percentages

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