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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 747 · 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. 1.3 × ? + 12 = 27
  2. 2.2 × ? + 26 = 34
  3. 3.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  5. 5.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  7. 7.Solve for x: 7(x + 4) = 4x + 40. What is x?
  8. 8.2 × ? − 12 = 30
  9. 9.I think of a number, multiply it by 8 and then add 37. The answer is 101. What is my number?
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  11. 11.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 7(x + 3) = 2x + 36. What is x?
  13. 13.5 × ? + 24 = 59
  14. 14.Solve for x: 8(x + 5) = 7x + 55. What is x?
  15. 15.5 × ? − 24 = 86
  16. 16.Rohan has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 6 and then add 26. The answer is 44. What is my number?
  18. 18.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  19. 19.2 × ? + 25 = 39
  20. 20.I think of a number, multiply it by 8 and then add 20. The answer is 244. What is my number?
  21. 21.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  22. 22.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  24. 24.3 × ? − 2 = 25
  25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 6 and then add 24. The answer is 54. What is my number?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  29. 29.Solve for x: 8(x + 1) = x + 71. What is x?
  30. 30.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 2 and then add 34. The answer is 94. What is my number?
  33. 33.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  35. 35.Solve for x: 8(x + 2) = 7x + 25. What is x?
  36. 36.Solve for x: 6(x + 7) = 5x + 53. What is x?
  37. 37.I think of a number, multiply it by 6 and then take away 7. The answer is 155. What is my number?
  38. 38.12 × ? − 1 = 263
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 8 and then take away 10. The answer is 78. What is my number?

Answer key

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

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