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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 853 · 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.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  3. 3.7 × ? + 24 = 129
  4. 4.I think of a number, multiply it by 7 and then add 18. The answer is 214. What is my number?
  5. 5.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 9 and then take away 27. The answer is 9. What is my number?
  8. 8.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  9. 9.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 2 and then add 17. The answer is 41. What is my number?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  12. 12.Solve for x: 9(x + 1) = x + 81. What is x?
  13. 13.3 × ? − 15 = 36
  14. 14.I think of a number, multiply it by 9 and then add 16. The answer is 52. What is my number?
  15. 15.10 × ? − 19 = 191
  16. 16.Solve for x: 6(x + 9) = 3x + 57. What is x?
  17. 17.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  19. 19.A pen costs ₹15 more than a pencil. 5 pens and 6 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 9 and then take away 19. The answer is 143. What is my number?
  21. 21.Solve for x: 3(x + 2) = 2x + 24. What is x?
  22. 22.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  23. 23.Manav has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  24. 24.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  25. 25.3 × ? − 14 = 7
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 6 and then add 12. The answer is 36. What is my number?
  28. 28.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 3 and then add 5. The answer is 50. What is my number?
  30. 30.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 7 and then add 38. The answer is 248. What is my number?
  32. 32.Solve for x: 4(x + 6) = x + 33. What is x?
  33. 33.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  34. 34.Rohan has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 9 and then take away 1. The answer is 71. What is my number?
  38. 38.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  39. 39.2 × ? − 15 = 31
  40. 40.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹291 in all. What does one pencil cost (in ₹)?

Answer key

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

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