Math: How to Set Up a Percent Proportion Practice
Writing part-over-whole equals percent-over-100
Math: How to Set Up a Percent Proportion Practice
Writing part-over-whole equals percent-over-100
Math - Grade 6-8
- 1
In a class of 30 students, 12 students ride the bus. Set up a percent proportion to find what percent of the class rides the bus.
The percent is unknown, so use p over 100.
The proportion is 12/30 = p/100. The part is 12 students, the whole is 30 students, and p represents the percent. - 2
A shirt costs $40. It is on sale for 25% off. Set up a percent proportion to find the amount of the discount.
The proportion is x/40 = 25/100. The unknown x represents the discount amount, and 40 is the original price. - 3
A student answered 18 questions correctly on a 20-question quiz. Set up and solve a percent proportion to find the score as a percent.
Correct answers are the part, and total questions are the whole.
The proportion is 18/20 = p/100. Solving gives p = 90, so the student's score is 90%. - 4
A basketball player made 60% of her 15 shots. Set up a percent proportion to find how many shots she made.
The proportion is x/15 = 60/100. The unknown x represents the number of shots made. - 5
A fruit basket has 8 apples and 12 oranges. Set up a percent proportion to find what percent of the fruit are apples.
First find the total number of fruits.
There are 20 pieces of fruit in all, so the proportion is 8/20 = p/100. The part is 8 apples and the whole is 20 total fruits. - 6
A store has 50 backpacks. If 18% of the backpacks are blue, set up a percent proportion to find the number of blue backpacks.
The proportion is x/50 = 18/100. The unknown x represents the number of blue backpacks. - 7
A survey shows that 14 out of 35 students prefer science as their favorite subject. Set up and solve a percent proportion to find the percent of students who prefer science.
Use the number who prefer science as the part.
The proportion is 14/35 = p/100. Solving gives p = 40, so 40% of the students prefer science. - 8
A recipe uses 3 cups of sugar in a total mixture of 12 cups. Set up a percent proportion to find what percent of the mixture is sugar.
The proportion is 3/12 = p/100. The part is 3 cups of sugar, the whole is 12 cups, and p represents the percent. - 9
A video game player completed 45% of a game that has 80 levels. Set up and solve a percent proportion to find how many levels were completed.
The whole is the total number of levels.
The proportion is x/80 = 45/100. Solving gives x = 36, so the player completed 36 levels. - 10
A school library has 240 books on display. If 30 of them are graphic novels, set up a percent proportion to find what percent of the display is graphic novels.
The proportion is 30/240 = p/100. The part is 30 graphic novels, the whole is 240 books, and p represents the percent. - 11
A plant grew 6 centimeters this month. This growth is 15% of its total height. Set up a percent proportion to find the plant's total height.
The whole is unknown, so put x in the denominator of the fraction on the left.
The proportion is 6/x = 15/100. The unknown x represents the plant's total height because 6 centimeters is 15% of the whole height. - 12
A movie theater sold 72 tickets. If 40% of the tickets were child tickets, set up and solve a percent proportion to find the number of child tickets sold.
Use x for the part because the number of child tickets is unknown.
The proportion is x/72 = 40/100. Solving gives x = 28.8, so the setup shows that 40% of 72 is 28.8 tickets. In a real ticket count, this situation would need whole-number data.