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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 229 · 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 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  2. 2.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  3. 3.12 × ? − 13 = 239
  4. 4.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  6. 6.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 2 and then add 11. The answer is 25. What is my number?
  8. 8.Sneha has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 9(x + 4) = 6x + 75. What is x?
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  12. 12.A pen costs ₹14 more than a pencil. 4 pens and 2 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  13. 13.10 × ? + 28 = 178
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  15. 15.Diya has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 9(x + 3) = 2x + 48. What is x?
  17. 17.I think of a number, multiply it by 9 and then add 33. The answer is 132. What is my number?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  19. 19.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 5 and then take away 28. The answer is 42. What is my number?
  21. 21.Solve for x: 9(x + 7) = 7x + 65. What is x?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  23. 23.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹330 in all. What does one pencil cost (in ₹)?
  24. 24.Isha has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  25. 25.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  27. 27.Manav has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 8(x + 7) = 4x + 100. What is x?
  30. 30.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  31. 31.Solve for x: 3(x + 3) = x + 21. What is x?
  32. 32.9 × ? − 10 = 125
  33. 33.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  35. 35.9 × ? − 22 = 86
  36. 36.9 × ? + 19 = 55
  37. 37.I think of a number, multiply it by 6 and then take away 36. The answer is 54. What is my number?
  38. 38.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?

Answer key

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

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