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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 562 · 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.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  2. 2.6 × ? + 30 = 114
  3. 3.I think of a number, multiply it by 7 and then take away 14. The answer is 49. What is my number?
  4. 4.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 7(x + 6) = 2x + 102. What is x?
  6. 6.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 6(x + 9) = 2x + 78. What is x?
  8. 8.I think of a number, multiply it by 3 and then take away 7. The answer is 83. What is my number?
  9. 9.I think of a number, multiply it by 4 and then take away 20. The answer is 96. What is my number?
  10. 10.I think of a number, multiply it by 8 and then add 34. The answer is 194. What is my number?
  11. 11.Solve for x: 4(x + 9) = x + 96. What is x?
  12. 12.I think of a number, multiply it by 2 and then add 1. The answer is 55. What is my number?
  13. 13.2 × ? + 16 = 38
  14. 14.Solve for x: 3(x + 4) = 2x + 21. What is x?
  15. 15.I think of a number, multiply it by 7 and then add 35. The answer is 49. What is my number?
  16. 16.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 6 and then add 4. The answer is 154. What is my number?
  20. 20.I think of a number, multiply it by 6 and then take away 24. The answer is 18. What is my number?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then take away 14. The answer is 182. What is my number?
  23. 23.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 9 and then take away 25. The answer is 236. What is my number?
  25. 25.7 × ? + 23 = 142
  26. 26.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  28. 28.A pen costs ₹7 more than a pencil. 2 pens and 8 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  29. 29.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  30. 30.3 × ? − 26 = 25
  31. 31.Solve for x: 7(x + 9) = 6x + 76. What is x?
  32. 32.4 × ? + 9 = 29
  33. 33.I think of a number, multiply it by 6 and then add 39. The answer is 195. What is my number?
  34. 34.I think of a number, multiply it by 4 and then take away 30. The answer is 62. What is my number?
  35. 35.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  36. 36.10 × ? − 21 = 139
  37. 37.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then add 9. The answer is 69. What is my number?
  40. 40.I think of a number, multiply it by 6 and then take away 4. The answer is 158. What is my number?

Answer key

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

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