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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 617 · 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. 1.4 × ? − 18 = 54
  2. 2.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  3. 3.5 × ? − 1 = 119
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  5. 5.8 × ? − 29 = 83
  6. 6.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹26 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  9. 9.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 4(x + 6) = 2x + 56. What is x?
  11. 11.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 3 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  13. 13.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  15. 15.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 9 and then add 31. The answer is 121. What is my number?
  18. 18.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 4 and then take away 19. The answer is 25. What is my number?
  20. 20.Pooja has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 6(x + 9) = x + 139. What is x?
  22. 22.I think of a number, multiply it by 5 and then take away 39. The answer is 71. What is my number?
  23. 23.I think of a number, multiply it by 3 and then take away 11. The answer is 28. What is my number?
  24. 24.I think of a number, multiply it by 4 and then take away 2. The answer is 78. What is my number?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  27. 27.11 × ? − 22 = 110
  28. 28.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹14 more than a pencil. 3 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  30. 30.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹5 more than a pencil. 6 pens and 3 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 8(x + 1) = 4x + 40. What is x?
  35. 35.Solve for x: 6(x + 3) = 5x + 27. What is x?
  36. 36.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 8 and then take away 4. The answer is 220. What is my number?
  38. 38.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 4 and then add 33. The answer is 145. What is my number?

Answer key

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

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