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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 65 · 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.Manav has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  3. 3.4 × ? + 4 = 104
  4. 4.9 × ? − 10 = 8
  5. 5.Solve for x: 8(x + 3) = 5x + 69. What is x?
  6. 6.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  7. 7.8 × ? − 6 = 58
  8. 8.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  9. 9.Nisha has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹13 more than a pencil. 5 pens and 2 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 9(x + 2) = 7x + 22. What is x?
  12. 12.A pen costs ₹5 more than a pencil. 5 pens and 3 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 2 and then take away 6. The answer is 32. What is my number?
  14. 14.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 8 and then take away 6. The answer is 66. What is my number?
  16. 16.Meera has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 3(x + 2) = 2x + 13. What is x?
  18. 18.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹212 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 3 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 6 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  22. 22.12 × ? − 16 = 56
  23. 23.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  24. 24.2 × ? + 5 = 25
  25. 25.Aditya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 9 and then take away 9. The answer is 18. What is my number?
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 8 and then take away 37. The answer is 19. What is my number?
  29. 29.I think of a number, multiply it by 8 and then take away 29. The answer is 99. What is my number?
  30. 30.Manav has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  31. 31.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 3(x + 8) = 2x + 35. What is x?
  33. 33.I think of a number, multiply it by 9 and then add 26. The answer is 89. What is my number?
  34. 34.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 5(x + 6) = 4x + 36. What is x?
  36. 36.Solve for x: 4(x + 1) = x + 49. What is x?
  37. 37.A pen costs ₹6 more than a pencil. 4 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 8 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  39. 39.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?

Answer key

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

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