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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 681 · 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. 1.8 × ? + 19 = 123
  2. 2.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  3. 3.Zoya has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  5. 5.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 5(x + 7) = x + 99. What is x?
  7. 7.I think of a number, multiply it by 4 and then take away 19. The answer is 41. What is my number?
  8. 8.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  9. 9.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  10. 10.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  11. 11.9 × ? + 19 = 136
  12. 12.A pen costs ₹4 more than a pencil. 2 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 6(x + 9) = 4x + 86. What is x?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  15. 15.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 7 and then take away 36. The answer is 6. What is my number?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  18. 18.Solve for x: 6(x + 9) = 2x + 62. What is x?
  19. 19.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  20. 20.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 8(x + 9) = x + 100. What is x?
  22. 22.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 4(x + 8) = 3x + 34. What is x?
  24. 24.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  25. 25.8 × ? + 5 = 149
  26. 26.I think of a number, multiply it by 2 and then add 14. The answer is 62. What is my number?
  27. 27.Solve for x: 9(x + 8) = 3x + 108. What is x?
  28. 28.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  29. 29.9 × ? + 26 = 44
  30. 30.Solve for x: 4(x + 3) = 2x + 38. What is x?
  31. 31.9 × ? − 13 = 140
  32. 32.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 5 and then add 9. The answer is 19. What is my number?
  35. 35.I think of a number, multiply it by 5 and then add 16. The answer is 151. What is my number?
  36. 36.9 × ? − 11 = 142
  37. 37.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 4(x + 9) = 2x + 64. What is x?
  39. 39.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹175 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 8 and then take away 5. The answer is 91. What is my number?

Answer key

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

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