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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 673 · 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.A pen costs ₹11 more than a pencil. 2 pens and 5 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  3. 3.I think of a number, multiply it by 9 and then take away 7. The answer is 83. What is my number?
  4. 4.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  6. 6.11 × ? − 11 = 88
  7. 7.I think of a number, multiply it by 4 and then add 26. The answer is 54. What is my number?
  8. 8.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  9. 9.Arjun has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  10. 10.7 × ? + 16 = 170
  11. 11.7 × ? + 4 = 67
  12. 12.A pen costs ₹15 more than a pencil. 4 pens and 6 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  13. 13.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 7 and then take away 32. The answer is 10. What is my number?
  15. 15.Solve for x: 3(x + 8) = 2x + 28. What is x?
  16. 16.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  17. 17.3 × ? + 5 = 74
  18. 18.A pen costs ₹11 more than a pencil. 6 pens and 7 pencils cost ₹287 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 7(x + 7) = 6x + 67. What is x?
  20. 20.I think of a number, multiply it by 4 and then add 32. The answer is 140. What is my number?
  21. 21.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  23. 23.Solve for x: 5(x + 9) = 4x + 57. What is x?
  24. 24.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  25. 25.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 6(x + 8) = x + 108. What is x?
  27. 27.4 × ? − 17 = 71
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  29. 29.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 4(x + 3) = 2x + 28. What is x?
  31. 31.I think of a number, multiply it by 5 and then take away 20. The answer is 70. What is my number?
  32. 32.Solve for x: 3(x + 2) = 2x + 7. What is x?
  33. 33.Kabir has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 4 and then add 33. The answer is 121. What is my number?
  35. 35.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  36. 36.Kabir has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 8 and then add 13. The answer is 149. What is my number?
  38. 38.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 4 and then add 4. The answer is 36. What is my number?
  40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?

Answer key

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

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