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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 932 · 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.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹41 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 5 and then take away 17. The answer is 23. What is my number?
  3. 3.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 8 and then add 13. The answer is 109. What is my number?
  5. 5.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  6. 6.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  8. 8.Meera has 29 coins, all ₹5 and ₹2 coins, worth ₹133 in all. How many ₹5 coins are there?
  9. 9.11 × ? − 4 = 128
  10. 10.12 × ? + 4 = 52
  11. 11.Solve for x: 4(x + 1) = x + 19. What is x?
  12. 12.I think of a number, multiply it by 8 and then add 20. The answer is 180. What is my number?
  13. 13.A pen costs ₹5 more than a pencil. 2 pens and 3 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  15. 15.Solve for x: 8(x + 3) = 4x + 76. What is x?
  16. 16.Solve for x: 7(x + 7) = 5x + 51. What is x?
  17. 17.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 4 and then add 12. The answer is 24. What is my number?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  22. 22.11 × ? + 16 = 115
  23. 23.Solve for x: 8(x + 9) = x + 170. What is x?
  24. 24.4 × ? − 23 = 1
  25. 25.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  27. 27.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  28. 28.8 × ? − 4 = 52
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  30. 30.3 × ? + 12 = 36
  31. 31.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  32. 32.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  33. 33.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 8(x + 7) = 2x + 62. What is x?
  35. 35.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  36. 36.2 × ? − 3 = 41
  37. 37.I think of a number, multiply it by 3 and then take away 29. The answer is 28. What is my number?
  38. 38.I think of a number, multiply it by 7 and then take away 29. The answer is 83. What is my number?
  39. 39.A pen costs ₹6 more than a pencil. 4 pens and 6 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 3 and then take away 36. The answer is 6. What is my number?

Answer key

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

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