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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 334 · 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.I think of a number, multiply it by 7 and then take away 3. The answer is 74. What is my number?
  2. 2.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  5. 5.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 2 and then add 29. The answer is 53. What is my number?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 6 and then add 1. The answer is 133. What is my number?
  9. 9.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  10. 10.9 × ? − 3 = 114
  11. 11.I think of a number, multiply it by 4 and then add 40. The answer is 124. What is my number?
  12. 12.11 × ? + 4 = 125
  13. 13.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 8 and then add 26. The answer is 98. What is my number?
  15. 15.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 5 and then take away 8. The answer is 7. What is my number?
  17. 17.A pen costs ₹10 more than a pencil. 5 pens and 7 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹192 in all. What does one pencil cost (in ₹)?
  19. 19.5 × ? − 19 = 76
  20. 20.I think of a number, multiply it by 2 and then add 33. The answer is 71. What is my number?
  21. 21.Ananya has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 4(x + 6) = x + 81. What is x?
  23. 23.4 × ? − 5 = 63
  24. 24.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  27. 27.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  29. 29.3 × ? + 28 = 55
  30. 30.Solve for x: 3(x + 4) = 2x + 14. What is x?
  31. 31.2 × ? + 7 = 13
  32. 32.I think of a number, multiply it by 7 and then add 1. The answer is 22. What is my number?
  33. 33.Solve for x: 4(x + 8) = 2x + 42. What is x?
  34. 34.4 × ? + 30 = 54
  35. 35.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 5(x + 8) = 2x + 85. What is x?
  37. 37.12 × ? + 25 = 109
  38. 38.I think of a number, multiply it by 7 and then take away 21. The answer is 77. What is my number?
  39. 39.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹62 in all. What does one pencil cost (in ₹)?

Answer key

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

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