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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 393 · 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.Ananya has 28 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  3. 3.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 9 and then take away 8. The answer is 172. What is my number?
  5. 5.I think of a number, multiply it by 9 and then add 34. The answer is 223. What is my number?
  6. 6.Solve for x: 5(x + 9) = 4x + 46. What is x?
  7. 7.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  9. 9.9 × ? + 26 = 44
  10. 10.Solve for x: 7(x + 9) = 5x + 87. What is x?
  11. 11.4 × ? − 13 = 59
  12. 12.I think of a number, multiply it by 7 and then take away 31. The answer is 25. What is my number?
  13. 13.Solve for x: 4(x + 2) = 3x + 23. What is x?
  14. 14.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  15. 15.12 × ? − 7 = 149
  16. 16.Solve for x: 3(x + 1) = 2x + 19. What is x?
  17. 17.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  18. 18.Solve for x: 7(x + 6) = 2x + 87. What is x?
  19. 19.Solve for x: 8(x + 8) = 4x + 80. What is x?
  20. 20.I think of a number, multiply it by 6 and then take away 6. The answer is 162. What is my number?
  21. 21.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  22. 22.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹10 more than a pencil. 3 pens and 7 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  25. 25.Pooja has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 2 and then add 33. The answer is 41. What is my number?
  28. 28.11 × ? − 7 = 59
  29. 29.2 × ? − 5 = 43
  30. 30.I think of a number, multiply it by 7 and then add 36. The answer is 92. What is my number?
  31. 31.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  32. 32.10 × ? + 24 = 114
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  34. 34.Solve for x: 7(x + 5) = 3x + 59. What is x?
  35. 35.A pen costs ₹13 more than a pencil. 6 pens and 8 pencils cost ₹274 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 7 and then add 34. The answer is 230. What is my number?
  37. 37.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  38. 38.Solve for x: 5(x + 8) = 3x + 62. What is x?
  39. 39.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹180 in all. What does one pencil cost (in ₹)?

Answer key

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

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