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Percent, Proportion & Equation: Solving Various Math Problems

Learn how to solve math problems involving percentages, proportions, equations, percent of change, percent of error, tax and discounts, and simple interest.

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Percent, Proportion & Equation: Solving Various Math Problems

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  1. Percent Proportion & Equation Percent of Change Percent of Error Tax and Discounts Simple Interest 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20 pt 20 pt 20 pt 25 pt 25 pt 25 pt 25 pt 25 pt

  2. What percent of $90 is $9?

  3. 10%

  4. What number is 20% of 35?

  5. 7

  6. 62 is 90.5% of what number?

  7. 68.5

  8. Of the 60 books on a bookshelf, 24 are nonfiction. What percent of the books are nonfiction?

  9. 40%

  10. Roman has 2 red pencils in his backpack. If this is 25% of the total number of pencils, how many pencils are in his backpack?

  11. 8 pencils

  12. 15 yards to 18 yards

  13. 20%

  14. 132 days to 125.4 days

  15. 5%

  16. Last school year the enrollment of Genoa Middle School was 465 students. This year the enrollment is 525.

  17. 12.9%

  18. Tara purchased a DVD player for $150. Six months later, the same DVD player was selling for $120. What was the percent of decrease?

  19. 20%

  20. In one year, Braden’s height went from 60 inches to 63 inches. What was the percent of increase in Braden’s height?

  21. 5%

  22. Estimated: 13.5 lbsActual: 15.6 lbs

  23. 13.5%

  24. Estimate: 75Actual: 126

  25. 40.5%

  26. George estimated that there were 315 students at a basketball game. The actual number of students at the game was 350. What was the percent of error of his estimate?

  27. 10%

  28. In an experiment, a chemist estimated the amount of liquid in a beaker to be 52 milliliters. The actual amount of liquid in the beaker was 50 milliliters. What was the percent error?

  29. 4%

  30. Dane estimated that there were 420 people at a concert with him. The actual number of people at the concert was 375. What was the percent error of Dane’s estimate?

  31. 12%

  32. A haircut costs $20. Sales tax is 4.75%. How much will the haircut cost all together?

  33. $20.95

  34. American Eagle pays $56 for their brown parka. They add 25% to the price & sell it to the customers. Find the selling price.

  35. $70

  36. A pair of in-line skates is on sale for $98. If this price is discounted 9% , what is the final price of the skates?

  37. $89.18

  38. Joe is buying a t-shirt for $12.99, a pair of shoes for $59.95, and sunglasses for $13.50. If he has a coupon for 15% off his total purchase and sales tax is 6%, how much did he pay? Round your answer to the nearest cent.

  39. $77.88

  40. Sara earns a 15% commission on furniture she sells. How much commision would she earn if she sells a dining room set for $850, a chair for $400, and a rug for $75?

  41. $198.75 – commision

  42. How much simple interest will they pay?Principal - $300Interest Rate – 4%Term – 6 months

  43. $6

  44. Victoria deposited $2500 into a savings account that pays her simple interest. The interest rate is 3%. How much interest will Victoria earn in 2 years? And what will her balance be?

  45. Interest: $150Balance: $2650

  46. Tina took out a 6 year loan for $18000 to buy a new car. She has to pay 2% simple interest on the loan. How much will Tina have paid in all after the 6 years?

  47. $20,160

  48. Leon borrowed $75 at an interest rate of 12.5%. How much will Leon have to pay after 9 months if he makes no payments?

  49. $82.03

  50. Pablo has $4200 to invest for college. If Pablo invests $4200 for 3 years and earns $630, what is the simple interest rate?

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