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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 779 · 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.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  3. 3.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 8(x + 1) = 3x + 48. What is x?
  5. 5.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  7. 7.Solve for x: 3(x + 4) = x + 48. What is x?
  8. 8.12 × ? − 15 = 177
  9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  10. 10.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  11. 11.Solve for x: 8(x + 1) = 2x + 122. What is x?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  13. 13.Solve for x: 4(x + 1) = 2x + 36. What is x?
  14. 14.Solve for x: 3(x + 3) = x + 11. What is x?
  15. 15.I think of a number, multiply it by 2 and then add 33. The answer is 57. What is my number?
  16. 16.I think of a number, multiply it by 2 and then add 8. The answer is 32. What is my number?
  17. 17.Solve for x: 3(x + 4) = x + 14. What is x?
  18. 18.Solve for x: 9(x + 5) = 4x + 60. What is x?
  19. 19.12 × ? − 10 = 278
  20. 20.9 × ? − 9 = 126
  21. 21.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹7 more than a pencil. 2 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  25. 25.3 × ? − 1 = 35
  26. 26.I think of a number, multiply it by 3 and then take away 4. The answer is 59. What is my number?
  27. 27.Solve for x: 6(x + 8) = x + 63. What is x?
  28. 28.Tara has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 8(x + 9) = 2x + 108. What is x?
  30. 30.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  31. 31.Priya has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  32. 32.11 × ? − 6 = 71
  33. 33.A pen costs ₹10 more than a pencil. 4 pens and 8 pencils cost ₹268 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? + 28 = 112
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  36. 36.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹10 more than a pencil. 4 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  38. 38.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  40. 40.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?

Answer key

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

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