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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 685 · 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 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  2. 2.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  4. 4.9 × ? + 5 = 140
  5. 5.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  7. 7.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 8 and then add 11. The answer is 203. What is my number?
  9. 9.Solve for x: 9(x + 6) = 7x + 74. What is x?
  10. 10.I think of a number, multiply it by 9 and then add 39. The answer is 210. What is my number?
  11. 11.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  12. 12.5 × ? + 22 = 112
  13. 13.Dev has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 4 and then take away 20. The answer is 32. What is my number?
  15. 15.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  16. 16.2 × ? + 29 = 39
  17. 17.Saanvi has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹6 more than a pencil. 5 pens and 8 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  19. 19.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 7 and then take away 5. The answer is 114. What is my number?
  21. 21.Solve for x: 8(x + 2) = 3x + 66. What is x?
  22. 22.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 5(x + 2) = x + 30. What is x?
  24. 24.3 × ? + 1 = 31
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  26. 26.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  27. 27.5 × ? − 4 = 91
  28. 28.8 × ? − 3 = 117
  29. 29.A pen costs ₹9 more than a pencil. 6 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 4 and then take away 39. The answer is 37. What is my number?
  31. 31.The length of a rectangle is 4 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  32. 32.5 × ? + 21 = 36
  33. 33.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  34. 34.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 6 and then take away 12. The answer is 108. What is my number?
  36. 36.3 × ? − 4 = 44
  37. 37.Solve for x: 4(x + 7) = 2x + 42. What is x?
  38. 38.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  40. 40.Solve for x: 9(x + 8) = 3x + 138. What is x?

Answer key

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

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