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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 233 · 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. 1.11 × ? − 2 = 31
  2. 2.Meera has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 3 and then take away 30. The answer is 57. What is my number?
  4. 4.I think of a number, multiply it by 6 and then add 36. The answer is 210. What is my number?
  5. 5.12 × ? − 4 = 236
  6. 6.Solve for x: 5(x + 8) = 4x + 42. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 3 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  9. 9.11 × ? + 7 = 128
  10. 10.A pen costs ₹14 more than a pencil. 5 pens and 2 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then take away 2. The answer is 22. What is my number?
  12. 12.12 × ? + 1 = 205
  13. 13.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  14. 14.Isha has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  15. 15.Solve for x: 4(x + 1) = x + 58. What is x?
  16. 16.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 8 and then add 2. The answer is 242. What is my number?
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  19. 19.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹47 in all. What does one pencil cost (in ₹)?
  20. 20.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 9(x + 4) = 4x + 61. What is x?
  22. 22.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  23. 23.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  25. 25.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 3(x + 6) = 2x + 23. What is x?
  28. 28.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹5 more than a pencil. 2 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  30. 30.Solve for x: 3(x + 1) = x + 23. What is x?
  31. 31.Solve for x: 7(x + 3) = 3x + 101. What is x?
  32. 32.Isha has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 6 and then take away 27. The answer is 141. What is my number?
  34. 34.12 × ? − 17 = 163
  35. 35.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  37. 37.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 7(x + 3) = 2x + 106. What is x?
  39. 39.A pen costs ₹7 more than a pencil. 4 pens and 7 pencils cost ₹226 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?

Answer key

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

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