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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 675 · 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.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  5. 5.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹2 more than a pencil. 5 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  8. 8.Solve for x: 4(x + 6) = 3x + 28. What is x?
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  10. 10.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 9(x + 3) = x + 35. What is x?
  12. 12.8 × ? − 8 = 112
  13. 13.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 2 and then add 22. The answer is 26. What is my number?
  15. 15.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 7(x + 1) = 5x + 21. What is x?
  17. 17.Solve for x: 5(x + 2) = x + 78. What is x?
  18. 18.Solve for x: 5(x + 9) = 2x + 105. What is x?
  19. 19.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 9 and then add 39. The answer is 57. What is my number?
  21. 21.I think of a number, multiply it by 3 and then add 20. The answer is 53. What is my number?
  22. 22.I think of a number, multiply it by 5 and then add 38. The answer is 53. What is my number?
  23. 23.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 8(x + 5) = 6x + 50. What is x?
  25. 25.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  26. 26.8 × ? − 23 = 169
  27. 27.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  28. 28.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  30. 30.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 3 and then add 29. The answer is 59. What is my number?
  32. 32.I think of a number, multiply it by 5 and then take away 1. The answer is 114. What is my number?
  33. 33.10 × ? + 24 = 154
  34. 34.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 2 and then take away 6. The answer is 30. What is my number?
  36. 36.8 × ? − 19 = 117
  37. 37.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  38. 38.10 × ? − 22 = 98
  39. 39.Solve for x: 4(x + 5) = x + 35. What is x?
  40. 40.4 × ? + 22 = 118

Answer key

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

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