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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 315 · 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.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 6 and then take away 12. The answer is 150. What is my number?
  3. 3.11 × ? − 1 = 21
  4. 4.5 × ? + 13 = 63
  5. 5.10 × ? + 24 = 264
  6. 6.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 4(x + 2) = x + 17. What is x?
  9. 9.Solve for x: 7(x + 5) = 4x + 71. What is x?
  10. 10.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 3(x + 2) = 2x + 15. What is x?
  12. 12.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹320 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then take away 5. The answer is 220. What is my number?
  14. 14.I think of a number, multiply it by 8 and then add 19. The answer is 59. What is my number?
  15. 15.Solve for x: 3(x + 4) = 2x + 19. What is x?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 8 and then take away 40. The answer is 80. What is my number?
  18. 18.I think of a number, multiply it by 4 and then take away 9. The answer is 51. What is my number?
  19. 19.I think of a number, multiply it by 6 and then add 38. The answer is 146. What is my number?
  20. 20.12 × ? + 24 = 84
  21. 21.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 3(x + 7) = x + 61. What is x?
  23. 23.Solve for x: 9(x + 3) = 8x + 43. What is x?
  24. 24.The length of a rectangle is 7 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  26. 26.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 7 and then add 27. The answer is 195. What is my number?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  29. 29.Isha has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  30. 30.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  31. 31.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 8(x + 6) = 6x + 76. What is x?
  34. 34.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  35. 35.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 3 and then add 5. The answer is 83. What is my number?
  37. 37.Pooja has 27 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  38. 38.2 × ? + 16 = 22
  39. 39.Solve for x: 6(x + 2) = 5x + 15. What is x?
  40. 40.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?

Answer key

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

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