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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 963 · 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 ₹4 more than a pencil. 3 pens and 2 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 4 and then take away 17. The answer is 11. What is my number?
  5. 5.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  10. 10.Rahul has 16 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  11. 11.8 × ? + 6 = 30
  12. 12.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 9(x + 4) = 3x + 66. What is x?
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  15. 15.2 × ? + 3 = 33
  16. 16.Ananya has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  19. 19.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  21. 21.10 × ? − 9 = 211
  22. 22.I think of a number, multiply it by 2 and then take away 11. The answer is 45. What is my number?
  23. 23.6 × ? + 13 = 49
  24. 24.I think of a number, multiply it by 8 and then add 2. The answer is 242. What is my number?
  25. 25.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 5 and then add 15. The answer is 165. What is my number?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  28. 28.Solve for x: 6(x + 3) = 2x + 94. What is x?
  29. 29.8 × ? + 29 = 189
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  31. 31.2 × ? + 21 = 59
  32. 32.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 3 and then add 26. The answer is 59. What is my number?
  34. 34.I think of a number, multiply it by 8 and then take away 28. The answer is 212. What is my number?
  35. 35.Solve for x: 5(x + 5) = 4x + 32. What is x?
  36. 36.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 7 and then add 33. The answer is 89. What is my number?
  38. 38.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  39. 39.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  40. 40.2 × ? + 22 = 44

Answer key

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

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