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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 429 · 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 ₹9 more than a pencil. 6 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹11 more than a pencil. 4 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 8 and then add 1. The answer is 137. What is my number?
  5. 5.9 × ? − 27 = 18
  6. 6.I think of a number, multiply it by 7 and then take away 25. The answer is 185. What is my number?
  7. 7.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  9. 9.4 × ? − 1 = 43
  10. 10.9 × ? − 24 = 75
  11. 11.Solve for x: 4(x + 2) = 3x + 11. What is x?
  12. 12.9 × ? + 3 = 57
  13. 13.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 2 and then take away 21. The answer is 23. What is my number?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  16. 16.2 × ? + 11 = 15
  17. 17.4 × ? − 6 = 54
  18. 18.3 × ? − 6 = 33
  19. 19.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 7 and then add 8. The answer is 211. What is my number?
  21. 21.I think of a number, multiply it by 3 and then add 2. The answer is 38. What is my number?
  22. 22.Solve for x: 7(x + 1) = 5x + 9. What is x?
  23. 23.I think of a number, multiply it by 3 and then add 29. The answer is 68. What is my number?
  24. 24.12 × ? + 5 = 161
  25. 25.11 × ? − 30 = 113
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 6 and then add 37. The answer is 145. What is my number?
  28. 28.Solve for x: 6(x + 9) = 3x + 108. What is x?
  29. 29.Solve for x: 4(x + 8) = x + 35. What is x?
  30. 30.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 8(x + 4) = 2x + 38. What is x?
  32. 32.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 2 and then take away 1. The answer is 43. What is my number?
  35. 35.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 7 and then take away 16. The answer is 180. What is my number?
  37. 37.I think of a number, multiply it by 2 and then add 37. The answer is 79. What is my number?
  38. 38.3 × ? + 10 = 73
  39. 39.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 5 and then add 3. The answer is 78. What is my number?

Answer key

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

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