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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 927 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.Dev has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  4. 4.7 × ? + 9 = 86
  5. 5.I think of a number, multiply it by 3 and then add 11. The answer is 26. What is my number?
  6. 6.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  7. 7.8 × ? + 14 = 70
  8. 8.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 9 and then add 8. The answer is 53. What is my number?
  10. 10.I think of a number, multiply it by 8 and then take away 16. The answer is 168. What is my number?
  11. 11.2 × ? − 2 = 46
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  13. 13.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  15. 15.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then take away 36. The answer is 28. What is my number?
  17. 17.I think of a number, multiply it by 9 and then take away 7. The answer is 56. What is my number?
  18. 18.The length of a rectangle is 15 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  19. 19.Farhan has 13 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  20. 20.Dev has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  21. 21.6 × ? + 4 = 40
  22. 22.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹287 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 7 and then take away 21. The answer is 84. What is my number?
  24. 24.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 8) = 4x + 54. What is x?
  28. 28.Solve for x: 4(x + 7) = 2x + 68. What is x?
  29. 29.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 9(x + 3) = 6x + 81. What is x?
  32. 32.5 × ? − 22 = 33
  33. 33.3 × ? + 22 = 31
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  35. 35.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 7(x + 5) = 6x + 47. What is x?
  37. 37.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹220 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  40. 40.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?

Answer key

  1. 3
  2. 8
  3. 1
  4. 11
  5. 5
  6. 6
  7. 7
  8. 3
  9. 5
  10. 23
  11. 24
  12. 12
  13. 10
  14. 30
  15. 7
  16. 8
  17. 7
  18. 8
  19. 8
  20. 9
  21. 6
  22. 17
  23. 15
  24. 3
  25. 9
  26. 16
  27. 3
  28. 20
  29. 2
  30. 17
  31. 18
  32. 11
  33. 3
  34. 17
  35. 14
  36. 12
  37. 16
  38. 4
  39. 17
  40. 14

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