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Mastering Ratios, Proportions, and Percentages in Math

This interactive guide covers simplifying ratios, solving proportions, fractional equations, and percentage calculations with comprehensive explanations and answers. Improve your math skills and understanding step by step with practice questions and solutions.

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Mastering Ratios, Proportions, and Percentages in Math

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  1. Ratios 100 Write in simplest form:

  2. Ratios 100 answer

  3. Ratios 200 Write in simplest form: 35 minutes: 7 seconds

  4. Ratios 200 answer 300:1

  5. Ratios 300 The ratio of pigs to cows on the farm is 6:7. There are 39 pigs and cows total on the farm. How many cows are there?

  6. Ratios 300 answer: 21 cows

  7. Ratios 400 Three numbers have ratio 4:6:9 and sum to 47.5. Find the largest number.

  8. Ratios 400 answer The largest number is 22.5.

  9. Proportions 100 Every proportion can be solved by ___.

  10. Proportions100 answer cross multiplying

  11. Proportions 200 True or False: 14/29 and 15/31 make a proportion.

  12. Proportions 200 answer False

  13. Proportions 300

  14. Proportions 300 answer x = 5/3

  15. Proportions 400

  16. Proportions 400 answer: 1st: Cross multiply 2nd: Solve by factoring Solution:x = 5, x = 2 or {5, 2}

  17. Fractional Equations 100

  18. Fractional Eqns 100 answer 3x(x+3)

  19. Fractional Equations 200

  20. Fractional Eqns 200 answer {9}

  21. Fractional Equations 300

  22. Fractional Eqns 300 answer

  23. Fractional Equations 400

  24. Fractional Eqns 400 answer 1st: Find the LCD. (2r + 4) 2nd: Multiply through by the LCD. 3rd: Solve for r.

  25. % Basics 100 Write as percents: a) 0.9 b) 0.0068 c) 13/100

  26. % Basics 100 answer a) 0.9 = 90% b) 0.0068 = .68% c) 13/100 = 13%

  27. % Basics 200 Find 13% of 9.

  28. % Basics 200 answer: Find 13% of 9. (0.13)(9)=1.17 13% of 9 = 1.17

  29. % Basics 300 What percent of 30 is 2?

  30. % Basics 300 answer What percent of 30 is 2?

  31. % Basics 400 a) What is the new price Bob will pay for an $80 hat if it gets discounted 20%? b) What will the final price be if he must pay 5% sales tax?

  32. % Basics 400 answers a) What is the new price Bob will pay for an $80 hat if it gets discounted 20%? 80 – (0.20)80 = 80 – 16 = $64 Bob will pay $64. b) What will the final price be if he must pay 5% sales tax? 64 + 64(0.05) = 64 + 3.20 = $67.20 The final price after tax is $67.20

  33. More Percents 100 Jack bought a dog for $300. It won several championships at dog shows and appreciated to $500. What was the percent increase in value of the dog?

  34. More Percents 100 answer Jack bought a dog for $300. It won several championships at dog shows and appreciated to $500. What was the percent increase in value of the dog?

  35. More Percents 200 Jill earned $600 last year on an account earning 4.75%. How much had she invested originally?

  36. More Percents 200 answer Jill earned $600 last year on an account earning 4.75%. How much had she invested originally?

  37. More Percents 300 Lou saved money by buying a CD on sale for $6.36. If the original price was $7.95, what was the percent of the discount?

  38. More Percents 300 answer

  39. More Percents 400 Pug invested $6000 in two accounts: part in account A earning 6% and another part in account B earning 11%. If Pug earned $580 total for the year, how much was invested in each account?

  40. More Percents 400 answer Pug invested $6000 in two accounts: part in account A earning 6% and another part in account B earning 11%. If Pug earned $580 total for the year, how much was invested in each account? $1600 invested in account A; $4400 invested in account B

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