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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 819 · 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.The length of a rectangle is 13 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  3. 3.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  4. 4.Pooja has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 3 and then take away 30. The answer is 60. What is my number?
  6. 6.I think of a number, multiply it by 6 and then add 6. The answer is 78. What is my number?
  7. 7.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  10. 10.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  11. 11.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 6 and then add 4. The answer is 94. What is my number?
  13. 13.Solve for x: 6(x + 2) = x + 32. What is x?
  14. 14.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 2 and then add 11. The answer is 71. What is my number?
  17. 17.Solve for x: 8(x + 5) = 6x + 48. What is x?
  18. 18.Rohan has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 6 and then add 20. The answer is 170. What is my number?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  22. 22.Solve for x: 7(x + 3) = 5x + 31. What is x?
  23. 23.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  24. 24.4 × ? − 11 = 65
  25. 25.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 7(x + 2) = x + 44. What is x?
  27. 27.Solve for x: 5(x + 6) = x + 110. What is x?
  28. 28.Solve for x: 9(x + 2) = 6x + 45. What is x?
  29. 29.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  30. 30.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  31. 31.10 × ? + 27 = 257
  32. 32.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  33. 33.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹7 more than a pencil. 4 pens and 5 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  35. 35.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 6(x + 8) = x + 93. What is x?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  39. 39.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  40. 40.2 × ? + 4 = 26

Answer key

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

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