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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 161 · 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.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  3. 3.5 × ? + 10 = 30
  4. 4.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 4(x + 2) = 3x + 15. What is x?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  7. 7.A pen costs ₹10 more than a pencil. 4 pens and 7 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹5 more than a pencil. 5 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 5 and then take away 2. The answer is 73. What is my number?
  12. 12.Solve for x: 7(x + 8) = 3x + 116. What is x?
  13. 13.5 × ? − 18 = 32
  14. 14.I think of a number, multiply it by 3 and then take away 34. The answer is 35. What is my number?
  15. 15.I think of a number, multiply it by 3 and then add 19. The answer is 103. What is my number?
  16. 16.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 6 and then take away 10. The answer is 170. What is my number?
  19. 19.6 × ? − 8 = 94
  20. 20.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  21. 21.8 × ? + 3 = 43
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 8 and then add 33. The answer is 97. What is my number?
  24. 24.I think of a number, multiply it by 9 and then take away 36. The answer is 225. What is my number?
  25. 25.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  26. 26.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 7(x + 4) = x + 112. What is x?
  28. 28.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 8 and then add 30. The answer is 262. What is my number?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  31. 31.7 × ? − 16 = 138
  32. 32.Solve for x: 8(x + 3) = 2x + 84. What is x?
  33. 33.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  34. 34.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  35. 35.6 × ? − 25 = 53
  36. 36.I think of a number, multiply it by 8 and then add 1. The answer is 129. What is my number?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 9 and then take away 26. The answer is 181. What is my number?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  40. 40.Solve for x: 9(x + 4) = 5x + 60. What is x?

Answer key

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

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