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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 36 · 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 ₹5 more than a pencil. 2 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 2 and then take away 15. The answer is 31. What is my number?
  4. 4.Vivaan has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹7 more than a pencil. 6 pens and 8 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 4 and then add 25. The answer is 57. What is my number?
  8. 8.Solve for x: 6(x + 2) = 5x + 28. What is x?
  9. 9.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 3 and then add 38. The answer is 74. What is my number?
  11. 11.I think of a number, multiply it by 4 and then add 12. The answer is 60. What is my number?
  12. 12.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  13. 13.12 × ? + 6 = 282
  14. 14.The length of a rectangle is 8 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  15. 15.9 × ? − 30 = 159
  16. 16.I think of a number, multiply it by 5 and then add 37. The answer is 187. What is my number?
  17. 17.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  19. 19.5 × ? + 14 = 109
  20. 20.Solve for x: 8(x + 7) = 2x + 122. What is x?
  21. 21.Solve for x: 6(x + 2) = 4x + 18. What is x?
  22. 22.Solve for x: 5(x + 9) = 4x + 54. What is x?
  23. 23.3 × ? + 21 = 36
  24. 24.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 9 and then add 36. The answer is 99. What is my number?
  26. 26.A pen costs ₹7 more than a pencil. 3 pens and 2 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 3 and then take away 37. The answer is 23. What is my number?
  28. 28.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 9 and then take away 28. The answer is 134. What is my number?
  30. 30.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 6 and then add 3. The answer is 87. What is my number?
  32. 32.9 × ? − 28 = 161
  33. 33.I think of a number, multiply it by 9 and then take away 25. The answer is 92. What is my number?
  34. 34.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹163 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 8(x + 2) = 5x + 22. What is x?
  37. 37.8 × ? + 9 = 73
  38. 38.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 6 and then take away 9. The answer is 57. What is my number?
  40. 40.3 × ? − 14 = 19

Answer key

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

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