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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 210 · 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.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  2. 2.11 × ? − 7 = 26
  3. 3.I think of a number, multiply it by 7 and then take away 31. The answer is 11. What is my number?
  4. 4.A pen costs ₹4 more than a pencil. 5 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  7. 7.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 13 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  13. 13.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 8 and then take away 2. The answer is 142. What is my number?
  15. 15.I think of a number, multiply it by 9 and then take away 10. The answer is 62. What is my number?
  16. 16.5 × ? + 1 = 121
  17. 17.4 × ? − 14 = 46
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 7 and then add 35. The answer is 84. What is my number?
  20. 20.I think of a number, multiply it by 3 and then add 6. The answer is 24. What is my number?
  21. 21.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 8 and then add 38. The answer is 238. What is my number?
  24. 24.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  25. 25.Solve for x: 5(x + 7) = x + 83. What is x?
  26. 26.Solve for x: 4(x + 5) = 3x + 35. What is x?
  27. 27.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  28. 28.11 × ? − 18 = 114
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  30. 30.10 × ? + 18 = 158
  31. 31.Solve for x: 4(x + 9) = 3x + 47. What is x?
  32. 32.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  33. 33.11 × ? − 28 = 236
  34. 34.Solve for x: 7(x + 5) = 6x + 49. What is x?
  35. 35.Solve for x: 8(x + 2) = 5x + 31. What is x?
  36. 36.Sneha has 28 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  37. 37.7 × ? − 21 = 126
  38. 38.I think of a number, multiply it by 6 and then add 12. The answer is 120. What is my number?
  39. 39.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?

Answer key

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

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