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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 63 · 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.Solve for x: 6(x + 9) = 5x + 73. What is x?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  3. 3.Rahul has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  4. 4.2 × ? − 1 = 21
  5. 5.I think of a number, multiply it by 3 and then add 13. The answer is 31. What is my number?
  6. 6.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 2 and then take away 26. The answer is 8. What is my number?
  8. 8.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  9. 9.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 6(x + 1) = 3x + 39. What is x?
  11. 11.Kabir has 15 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  12. 12.7 × ? + 18 = 151
  13. 13.Solve for x: 8(x + 9) = 5x + 90. What is x?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  15. 15.5 × ? + 21 = 131
  16. 16.I think of a number, multiply it by 5 and then take away 8. The answer is 97. What is my number?
  17. 17.I think of a number, multiply it by 6 and then take away 34. The answer is 38. What is my number?
  18. 18.Ishaan has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  19. 19.2 × ? − 21 = 11
  20. 20.3 × ? − 18 = 9
  21. 21.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 3(x + 9) = 2x + 35. What is x?
  23. 23.I think of a number, multiply it by 5 and then add 5. The answer is 65. What is my number?
  24. 24.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  25. 25.3 × ? − 2 = 73
  26. 26.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 4 and then take away 31. The answer is 5. What is my number?
  29. 29.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  30. 30.2 × ? + 1 = 31
  31. 31.Solve for x: 5(x + 6) = x + 42. What is x?
  32. 32.Arjun has 25 coins, all ₹5 and ₹2 coins, worth ₹104 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 6(x + 1) = 4x + 36. What is x?
  35. 35.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  36. 36.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  38. 38.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  40. 40.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?

Answer key

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

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