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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 300 · 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.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  2. 2.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 5 and then add 9. The answer is 24. What is my number?
  5. 5.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 3 and then add 35. The answer is 74. What is my number?
  7. 7.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  8. 8.8 × ? + 13 = 189
  9. 9.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹10 more than a pencil. 5 pens and 8 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 3 and then add 28. The answer is 67. What is my number?
  12. 12.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 7(x + 2) = 2x + 49. What is x?
  14. 14.Solve for x: 3(x + 7) = 2x + 40. What is x?
  15. 15.A pen costs ₹4 more than a pencil. 2 pens and 7 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  16. 16.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 2 and then take away 34. The answer is 26. What is my number?
  18. 18.I think of a number, multiply it by 4 and then take away 11. The answer is 73. What is my number?
  19. 19.12 × ? − 27 = 45
  20. 20.4 × ? − 13 = 51
  21. 21.I think of a number, multiply it by 6 and then take away 39. The answer is 141. What is my number?
  22. 22.I think of a number, multiply it by 7 and then take away 5. The answer is 184. What is my number?
  23. 23.Farhan has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  25. 25.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 7(x + 2) = 4x + 41. What is x?
  29. 29.Solve for x: 3(x + 8) = x + 62. What is x?
  30. 30.11 × ? − 12 = 54
  31. 31.Manav has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 9 and then take away 36. The answer is 126. What is my number?
  33. 33.I think of a number, multiply it by 5 and then add 4. The answer is 84. What is my number?
  34. 34.The length of a rectangle is 13 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  35. 35.Nisha has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 7(x + 1) = 3x + 43. What is x?
  37. 37.I think of a number, multiply it by 4 and then add 32. The answer is 116. What is my number?
  38. 38.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then take away 39. The answer is 42. What is my number?
  40. 40.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?

Answer key

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

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