# How To Solve Word Problems With Percents

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?

On this problem, the key is to know that a circle measures 360 degrees.

You write a ratio, just like you read it, left to right.

The simplified ratio of freshmen to seniors would be 10 to 3.

To refresh your memory, here they are again: It is made up of a circle cut up in sectors.

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.Taking 30% of the total of 6542 we get: 1963 is the number of sophomores in the Fall 2002 semester.Using this found information we need to find out how many sophomores were enrolled in the Fall 2001 semester.Taking 14.4% of the total of 9432 we get: What was the percent of customers that voted for root beer in 2001? You find that by going to the second column (2001) and going down to root beer.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.So if we know the percentage of the circle that a sector represents, then we can take that percentage of 360 degrees and find the measure of just that sector.What percentage of the students were juniors in the Fall 2002 semester? So what would be the measure of the central angle for juniors for the Fall 2002 semester?What percentage were sophomores in the Fall 2002 semester? So what would be the number of sophomores for the Fall 2002 semester?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.The third column represents the percentage of profits that each flavor made in 2002 as well as the total profits in dollars.Vanilla made 35.3% of the profits in 2001 and 29% of the profits in 2002. Approximately how many customers preferred Sprite in 2002? By approximately what percent did the preference of root beer decrease from 2001 to 2002? What was the difference between the number of votes for Coca Cola in 2001 versus 2002?