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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 86 · 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.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  2. 2.Meera has 27 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 9(x + 5) = x + 77. What is x?
  4. 4.Solve for x: 5(x + 1) = x + 21. What is x?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  7. 7.11 × ? + 10 = 142
  8. 8.Solve for x: 9(x + 4) = x + 60. What is x?
  9. 9.A pen costs ₹3 more than a pencil. 5 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  10. 10.5 × ? − 21 = 29
  11. 11.I think of a number, multiply it by 4 and then take away 18. The answer is 30. What is my number?
  12. 12.12 × ? − 26 = 238
  13. 13.I think of a number, multiply it by 4 and then add 37. The answer is 77. What is my number?
  14. 14.Solve for x: 6(x + 9) = 4x + 70. What is x?
  15. 15.7 × ? + 12 = 138
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 2 and then add 19. The answer is 25. What is my number?
  18. 18.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  19. 19.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 9(x + 2) = x + 66. What is x?
  21. 21.Meera has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 15 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 7 and then add 21. The answer is 63. What is my number?
  24. 24.3 × ? + 30 = 84
  25. 25.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 4 and then add 29. The answer is 149. What is my number?
  27. 27.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 7(x + 1) = 3x + 63. What is x?
  29. 29.10 × ? − 22 = 28
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  31. 31.2 × ? + 29 = 77
  32. 32.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹13 more than a pencil. 2 pens and 5 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  34. 34.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 8 and then add 19. The answer is 219. What is my number?
  36. 36.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 7(x + 3) = 5x + 37. What is x?
  38. 38.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?

Answer key

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

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