How To Solve Percentage Word Problems

: The pie chart or circle graph below shows the total enrollment of students at State College during the Fall 2002 semester, broken down into seniors, juniors, sophomores, and freshmen. What do you think the first part of the ratio, freshmen or seniors? That leaves the number associated with seniors to be our second part of the ratio. So the ratio of freshman to seniors would be 40 to 12.Since freshmen are listed first, that is what our first number of our ratio has to correspond to. You can think of ratios as fractions, and simplify them in the same manner.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 problem says that the Fall 2002 semester has 20% more sophomores than the Fall 2001 semester.

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?

Since a full circle is 360 degrees, we are basically wanting to know what 18% of 360 degrees is.

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?


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