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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 404 · 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. 2 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  2. 2.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 4 and then add 1. The answer is 57. What is my number?
  4. 4.Solve for x: 5(x + 3) = x + 35. What is x?
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  6. 6.12 × ? − 30 = 270
  7. 7.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  9. 9.Solve for x: 4(x + 5) = 2x + 32. What is x?
  10. 10.Solve for x: 5(x + 2) = 4x + 24. What is x?
  11. 11.8 × ? − 5 = 123
  12. 12.I think of a number, multiply it by 4 and then add 28. The answer is 80. What is my number?
  13. 13.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  15. 15.9 × ? − 14 = 58
  16. 16.Solve for x: 8(x + 5) = 2x + 94. What is x?
  17. 17.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹318 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 6 and then take away 7. The answer is 149. What is my number?
  21. 21.A pen costs ₹14 more than a pencil. 3 pens and 7 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  22. 22.I think of a number, multiply it by 2 and then add 14. The answer is 38. What is my number?
  23. 23.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹217 in all. What does one pencil cost (in ₹)?
  24. 24.Vivaan has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 3 and then add 23. The answer is 74. What is my number?
  28. 28.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  29. 29.6 × ? − 7 = 107
  30. 30.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  32. 32.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  35. 35.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 2 and then take away 1. The answer is 19. What is my number?
  38. 38.I think of a number, multiply it by 2 and then add 33. The answer is 47. What is my number?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  40. 40.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹67 in all. What does one pencil cost (in ₹)?

Answer key

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

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