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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 692 · 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.I think of a number, multiply it by 3 and then add 1. The answer is 55. What is my number?
  2. 2.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 3 and then add 16. The answer is 34. What is my number?
  4. 4.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  5. 5.Aditya has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 2 and then add 39. The answer is 99. What is my number?
  7. 7.I think of a number, multiply it by 8 and then add 36. The answer is 60. What is my number?
  8. 8.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 7(x + 6) = 4x + 66. What is x?
  10. 10.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 8(x + 5) = 3x + 130. What is x?
  12. 12.Solve for x: 5(x + 2) = 2x + 61. What is x?
  13. 13.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  14. 14.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  16. 16.2 × ? + 17 = 29
  17. 17.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 5(x + 9) = x + 77. What is x?
  19. 19.4 × ? + 22 = 118
  20. 20.I think of a number, multiply it by 7 and then take away 5. The answer is 191. What is my number?
  21. 21.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 8 and then add 4. The answer is 188. What is my number?
  23. 23.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 12 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  25. 25.Solve for x: 4(x + 3) = x + 66. What is x?
  26. 26.10 × ? − 6 = 224
  27. 27.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 4 and then take away 16. The answer is 32. What is my number?
  29. 29.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 6(x + 5) = 2x + 66. What is x?
  32. 32.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  33. 33.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  35. 35.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 9 and then add 33. The answer is 186. What is my number?
  38. 38.I think of a number, multiply it by 4 and then take away 18. The answer is 86. What is my number?
  39. 39.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 7 and then add 3. The answer is 129. What is my number?

Answer key

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

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