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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 978 · 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 6 and then add 23. The answer is 101. What is my number?
  2. 2.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  3. 3.12 × ? − 11 = 205
  4. 4.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 7(x + 3) = 4x + 30. What is x?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  8. 8.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  9. 9.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  11. 11.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  13. 13.10 × ? − 29 = 141
  14. 14.Aditya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 7 and then add 18. The answer is 39. What is my number?
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 9 and then take away 8. The answer is 262. What is my number?
  18. 18.6 × ? − 23 = 61
  19. 19.Solve for x: 5(x + 5) = 4x + 26. What is x?
  20. 20.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 6(x + 9) = 5x + 73. What is x?
  22. 22.I think of a number, multiply it by 9 and then take away 6. The answer is 39. What is my number?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  24. 24.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 5 and then add 33. The answer is 183. What is my number?
  26. 26.I think of a number, multiply it by 4 and then add 29. The answer is 49. What is my number?
  27. 27.I think of a number, multiply it by 5 and then take away 13. The answer is 32. What is my number?
  28. 28.I think of a number, multiply it by 3 and then take away 29. The answer is 46. What is my number?
  29. 29.I think of a number, multiply it by 4 and then take away 5. The answer is 115. What is my number?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  31. 31.Solve for x: 3(x + 7) = x + 49. What is x?
  32. 32.8 × ? + 10 = 42
  33. 33.I think of a number, multiply it by 6 and then take away 4. The answer is 158. What is my number?
  34. 34.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 4 and then add 7. The answer is 35. What is my number?
  36. 36.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  37. 37.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 8 and then add 12. The answer is 236. What is my number?
  40. 40.8 × ? + 17 = 177

Answer key

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

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