# How To Solve Percentage Word Problems

Since 40 and 12 have a greatest common factor of 4, we can reduce this to be 10 to 3.

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When we take a percentage of a number, we write the percentage in decimal form and then multiply it times the number we are taking the percentage of.

Taking 30% of the total of 6542 we get: 1963 is the number of sophomores in the Fall 2002 semester.

We are going to let be the number of sophomores in Fall 2001.

We are needing an equation that represents the English phrase "the Fall 2002 semester has 20% more sophomores than the Fall 2001 semester".

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.

What was the percent of customers that voted for root beer in 2002? You find that by going to the third column (2002) and going down to root beer. 2.7 - 1.1 = 1.6 There was a 1.6% decrease of votes for root beer from 2001 to 2002.

Now we are looking for a difference in the number of votes, so we will have to do a little bit more work here then in 12b above.

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?