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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 622 · 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.Isha has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹14 more than a pencil. 6 pens and 8 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 8 and then add 1. The answer is 145. What is my number?
  4. 4.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  6. 6.Solve for x: 9(x + 8) = 4x + 87. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 8 and then add 6. The answer is 30. What is my number?
  10. 10.Solve for x: 7(x + 3) = 4x + 81. What is x?
  11. 11.10 × ? − 14 = 146
  12. 12.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  13. 13.4 × ? + 6 = 22
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  15. 15.Solve for x: 5(x + 6) = 2x + 51. What is x?
  16. 16.I think of a number, multiply it by 3 and then take away 7. The answer is 5. What is my number?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then add 6. The answer is 78. What is my number?
  19. 19.Solve for x: 9(x + 5) = 3x + 87. What is x?
  20. 20.Solve for x: 4(x + 3) = x + 69. What is x?
  21. 21.Solve for x: 5(x + 5) = x + 65. What is x?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  23. 23.Solve for x: 5(x + 4) = 4x + 37. What is x?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  25. 25.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  27. 27.A pen costs ₹11 more than a pencil. 5 pens and 8 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  30. 30.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  32. 32.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 7(x + 8) = 6x + 60. What is x?
  34. 34.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  35. 35.A pen costs ₹7 more than a pencil. 4 pens and 2 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 8 and then take away 14. The answer is 82. What is my number?
  37. 37.Solve for x: 9(x + 7) = 7x + 91. What is x?
  38. 38.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 4(x + 2) = x + 41. What is x?

Answer key

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

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