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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 545 · 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.Saanvi has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 4 and then add 2. The answer is 42. What is my number?
  6. 6.I think of a number, multiply it by 9 and then add 1. The answer is 55. What is my number?
  7. 7.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  8. 8.3 × ? + 11 = 23
  9. 9.I think of a number, multiply it by 9 and then take away 11. The answer is 79. What is my number?
  10. 10.A pen costs ₹11 more than a pencil. 6 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  11. 11.4 × ? + 18 = 102
  12. 12.Solve for x: 3(x + 6) = 2x + 32. What is x?
  13. 13.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  15. 15.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  16. 16.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 8(x + 6) = 4x + 60. What is x?
  18. 18.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  19. 19.12 × ? − 20 = 196
  20. 20.I think of a number, multiply it by 5 and then take away 22. The answer is 53. What is my number?
  21. 21.2 × ? + 20 = 58
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 5 and then add 10. The answer is 120. What is my number?
  24. 24.I think of a number, multiply it by 2 and then add 15. The answer is 49. What is my number?
  25. 25.A pen costs ₹10 more than a pencil. 3 pens and 8 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 9 and then take away 10. The answer is 152. What is my number?
  29. 29.Solve for x: 5(x + 6) = 2x + 57. What is x?
  30. 30.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  31. 31.5 × ? − 20 = 40
  32. 32.12 × ? − 19 = 29
  33. 33.I think of a number, multiply it by 6 and then take away 20. The answer is 130. What is my number?
  34. 34.8 × ? + 28 = 172
  35. 35.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 4 and then take away 15. The answer is 93. What is my number?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  40. 40.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹106 in all. What does one pencil cost (in ₹)?

Answer key

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

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