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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 575 · 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.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  2. 2.I think of a number, multiply it by 5 and then take away 29. The answer is 81. What is my number?
  3. 3.I think of a number, multiply it by 2 and then take away 38. The answer is 12. What is my number?
  4. 4.3 × ? − 14 = 16
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  6. 6.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 4(x + 8) = x + 92. What is x?
  8. 8.Solve for x: 3(x + 8) = x + 40. What is x?
  9. 9.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹9 more than a pencil. 6 pens and 7 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  13. 13.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 9 and then take away 13. The answer is 86. What is my number?
  16. 16.Solve for x: 3(x + 6) = 2x + 19. What is x?
  17. 17.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  18. 18.Isha has 30 coins, all ₹5 and ₹2 coins, worth ₹141 in all. How many ₹5 coins are there?
  19. 19.6 × ? − 12 = 18
  20. 20.Solve for x: 8(x + 3) = 4x + 64. What is x?
  21. 21.Solve for x: 6(x + 7) = 4x + 50. What is x?
  22. 22.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹91 in all. What does one pencil cost (in ₹)?
  23. 23.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  24. 24.2 × ? + 21 = 41
  25. 25.A pen costs ₹5 more than a pencil. 2 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  27. 27.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 8 and then take away 6. The answer is 66. What is my number?
  29. 29.Solve for x: 6(x + 6) = 2x + 92. What is x?
  30. 30.7 × ? + 12 = 173
  31. 31.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 9(x + 1) = 3x + 99. What is x?
  33. 33.I think of a number, multiply it by 5 and then take away 21. The answer is 129. What is my number?
  34. 34.5 × ? − 12 = 43
  35. 35.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 3 and then add 3. The answer is 51. What is my number?
  39. 39.Solve for x: 8(x + 4) = 2x + 80. What is x?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?

Answer key

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

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