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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 478 · 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 ₹3 more than a pencil. 4 pens and 3 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  3. 3.4 × ? − 10 = 78
  4. 4.I think of a number, multiply it by 2 and then add 34. The answer is 80. What is my number?
  5. 5.I think of a number, multiply it by 2 and then add 24. The answer is 40. What is my number?
  6. 6.3 × ? + 24 = 36
  7. 7.7 × ? − 23 = 40
  8. 8.I think of a number, multiply it by 8 and then take away 13. The answer is 67. What is my number?
  9. 9.I think of a number, multiply it by 6 and then take away 35. The answer is 103. What is my number?
  10. 10.10 × ? − 5 = 155
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  12. 12.9 × ? − 4 = 158
  13. 13.Solve for x: 7(x + 4) = 4x + 37. What is x?
  14. 14.5 × ? − 7 = 103
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 2 and then take away 4. The answer is 42. What is my number?
  17. 17.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 5 and then take away 28. The answer is 82. What is my number?
  19. 19.I think of a number, multiply it by 6 and then add 15. The answer is 147. What is my number?
  20. 20.A pen costs ₹9 more than a pencil. 3 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 5 and then add 29. The answer is 114. What is my number?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 9 and then add 4. The answer is 67. What is my number?
  24. 24.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  26. 26.2 × ? − 20 = 26
  27. 27.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then take away 12. The answer is 6. What is my number?
  29. 29.I think of a number, multiply it by 3 and then take away 15. The answer is 30. What is my number?
  30. 30.I think of a number, multiply it by 2 and then add 24. The answer is 58. What is my number?
  31. 31.Solve for x: 6(x + 1) = 3x + 12. What is x?
  32. 32.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  33. 33.5 × ? + 9 = 39
  34. 34.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  36. 36.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹197 in all. What does one pencil cost (in ₹)?
  37. 37.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 6 and then add 25. The answer is 37. What is my number?
  39. 39.A pen costs ₹8 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  40. 40.4 × ? + 21 = 29

Answer key

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

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