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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 328 · 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.Dev has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  2. 2.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 6(x + 8) = x + 53. What is x?
  4. 4.I think of a number, multiply it by 8 and then take away 27. The answer is 13. What is my number?
  5. 5.2 × ? + 7 = 31
  6. 6.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  7. 7.12 × ? + 24 = 324
  8. 8.11 × ? + 1 = 34
  9. 9.I think of a number, multiply it by 2 and then take away 15. The answer is 27. What is my number?
  10. 10.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 4(x + 1) = 3x + 22. What is x?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  13. 13.Solve for x: 5(x + 7) = x + 87. What is x?
  14. 14.Solve for x: 7(x + 1) = 3x + 87. What is x?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  16. 16.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  17. 17.9 × ? + 17 = 44
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  19. 19.6 × ? − 17 = 31
  20. 20.5 × ? − 16 = 54
  21. 21.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  22. 22.2 × ? + 11 = 21
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  24. 24.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 6 and then take away 1. The answer is 41. What is my number?
  27. 27.I think of a number, multiply it by 7 and then add 39. The answer is 228. What is my number?
  28. 28.Solve for x: 3(x + 3) = 2x + 18. What is x?
  29. 29.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 8(x + 5) = 6x + 74. What is x?
  31. 31.4 × ? + 5 = 45
  32. 32.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  35. 35.4 × ? + 18 = 30
  36. 36.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 5(x + 6) = x + 50. What is x?
  38. 38.Solve for x: 9(x + 6) = 3x + 60. What is x?
  39. 39.A pen costs ₹8 more than a pencil. 2 pens and 6 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?

Answer key

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

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