Solving Percent Problems Classwork

Question1 John, Gary and Melissa played a computer game for a total of 3 hours. If John played the game for 28% of the total time, and Gary played the game for 52% of the total time, how many minutes did Melissa play the game?

Question 2 Carla paid $24 for slacks that were on sale. If the original price of the slacks was $32, what was the percent discount?

Question 3 After a 20% increase, the price of a share of a computer stock is $ What was the original price of a share of the computer stock?

Question 4 In a factory that manufactures light bulbs, 0.04% of the bulbs manufactured are defective. What is the minimum number of bulbs manufactured for which you would expect to find one defective light bulb?

Question 5 On January 1, Mr. Warner and his son jointly invest a sum of money at an annual rate of 6 ¾ %. On January 1 of the following year, their total investment is worth $5978. If Mr. Warner invested $4,500 of his own money, how much did his son invest?

Question 6 If the length of each side of a square is increased by 10%, by what percent does the area of the square increase? (Hint: draw a diagram)

Question 7 Nine hundred students were asked whether they thought their school should have a dress code. A circle graph was constructed to show the results. The central angles for two of the three sectors are shown in the accompanying diagram. What is the number of students who felt that school should have a dress code?

Question 8 In bowling leagues, some players are awarded extra points called their “handicap.” The handicap in Anthony’s league is 80% of the difference between 200 and the bowler’s average. In Anthony’s handicap is 44, what is Anthony’s bowling average?

Question 9 In a town election, candidates A and B were running for mayor. There were 30,500 people eligible to cote, and 80% of them actually voted. Candidate A received 6100 votes. What percent of the votes cast did candidate B received?

Question 10 A class consists of 14 boys and 19 girls. On a certain day, all the boys were present, and some girls were absent. If the girls made up only 30% of the class attendance on that day, how many girls were absent?

Question 11 A basketball player made 9 foul shots, which is 75% of the number he attempted. The coach tells the same player to keep making foul shots until the total number of foul shots made is 90% of the total number attempted. What is the minimum number of additional foul shots the basketball player needs to make?

Question 12 Walter is a waiter at the Towne Diner. He earns a daily wage of $50, plus tips that are equal to 15% of the total cost of the dinners he serves. On Tuesday he earned $170. What was the total cost of the dinners he served on Tuesday?

Question 13 Sue bought a beach chair on sale for 50% off the original price. The store charged her 10% tax, and her final cost was $ What was the original price of the beach chair?

Question 14 When Raymond was on a diet, his weight gain w in pounds after x days on the diet could be approximated by the formula w = 240 – 0.6x. A) After how many days on the diet did Raymond’s weight drop to 210 pounds? B) What percent of his original weight did Raymond lose after 30 days on the diet?

Question 15 A student answered 50% of the questions on a test correctly. If she answered 10 questions correctly out of the first 12 and 25% of the remaining questions correctly, how many questions were on the test?

Question 16 A painting that regularly sells for $55 is on sale for 20% off. The sales tax on the painting is 7%. What is the final cost? Does the final total cost of the painting depend on whether the salesperson deducts the discount before adding the sales tax or takes the discount after computing the sum of the original price and the sales tax on $55? Justify your answer.

Question 17 Keysha wants to tile the floor shown in the accompanying diagram. If each tile measures 1 foot by 1 foot and costs $2.99, what will be the total cost, including an 8% sales tax, for tiling the floor? 3 ft 10ft 4ft 7ft