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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 299 · 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.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  4. 4.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  5. 5.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then take away 35. The answer is 172. What is my number?
  8. 8.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  9. 9.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 7 and then take away 16. The answer is 117. What is my number?
  11. 11.10 × ? − 10 = 70
  12. 12.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 7 and then take away 32. The answer is 87. What is my number?
  14. 14.4 × ? − 17 = 3
  15. 15.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 3 and then add 36. The answer is 66. What is my number?
  17. 17.I think of a number, multiply it by 4 and then take away 8. The answer is 68. What is my number?
  18. 18.I think of a number, multiply it by 2 and then add 28. The answer is 62. What is my number?
  19. 19.Ishaan has 28 coins, all ₹5 and ₹2 coins, worth ₹134 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  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.Aarav has 20 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  26. 26.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  27. 27.Kavya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  28. 28.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  29. 29.Saanvi has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹10 more than a pencil. 6 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 5(x + 4) = 2x + 29. What is x?
  32. 32.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 8 and then add 15. The answer is 103. What is my number?
  35. 35.Solve for x: 5(x + 6) = 2x + 33. What is x?
  36. 36.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 4 and then add 36. The answer is 44. What is my number?
  38. 38.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?

Answer key

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

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