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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 528 · 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.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹9 more than a pencil. 6 pens and 5 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 3 and then add 26. The answer is 107. What is my number?
  6. 6.I think of a number, multiply it by 9 and then add 26. The answer is 143. What is my number?
  7. 7.Solve for x: 7(x + 3) = 3x + 81. What is x?
  8. 8.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹211 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 4 and then take away 14. The answer is 42. What is my number?
  10. 10.12 × ? − 29 = 211
  11. 11.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹11 more than a pencil. 2 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 4(x + 5) = 2x + 60. What is x?
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  17. 17.6 × ? + 19 = 151
  18. 18.I think of a number, multiply it by 6 and then take away 12. The answer is 168. What is my number?
  19. 19.I think of a number, multiply it by 3 and then take away 27. The answer is 48. What is my number?
  20. 20.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 2 and then take away 19. The answer is 15. What is my number?
  22. 22.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  23. 23.2 × ? + 16 = 32
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  25. 25.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 6 and then add 8. The answer is 86. What is my number?
  27. 27.Solve for x: 8(x + 8) = 2x + 148. What is x?
  28. 28.Saanvi has 26 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  29. 29.3 × ? − 8 = 52
  30. 30.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 3 and then add 6. The answer is 36. What is my number?
  32. 32.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 8 and then add 21. The answer is 61. What is my number?
  34. 34.Solve for x: 5(x + 8) = 4x + 45. What is x?
  35. 35.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  37. 37.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  38. 38.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 2 and then add 7. The answer is 21. What is my number?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?

Answer key

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

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