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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 272 · 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.

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  1. 1.5 × ? − 11 = 89
  2. 2.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  4. 4.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  6. 6.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 6 and then add 39. The answer is 207. What is my number?
  9. 9.Solve for x: 5(x + 2) = x + 42. What is x?
  10. 10.I think of a number, multiply it by 4 and then add 6. The answer is 102. What is my number?
  11. 11.5 × ? + 10 = 30
  12. 12.I think of a number, multiply it by 9 and then take away 9. The answer is 36. What is my number?
  13. 13.8 × ? − 4 = 44
  14. 14.I think of a number, multiply it by 4 and then take away 18. The answer is 2. What is my number?
  15. 15.I think of a number, multiply it by 3 and then take away 33. The answer is 57. What is my number?
  16. 16.11 × ? − 8 = 168
  17. 17.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  18. 18.Aarav has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  19. 19.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  20. 20.Rohan has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  21. 21.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  23. 23.Solve for x: 4(x + 9) = 3x + 46. What is x?
  24. 24.A pen costs ₹3 more than a pencil. 3 pens and 7 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  25. 25.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  26. 26.Solve for x: 7(x + 1) = 4x + 25. What is x?
  27. 27.I think of a number, multiply it by 9 and then take away 5. The answer is 76. What is my number?
  28. 28.Solve for x: 3(x + 7) = x + 59. What is x?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 5 and then take away 8. The answer is 67. What is my number?
  31. 31.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 4(x + 1) = x + 10. What is x?
  33. 33.I think of a number, multiply it by 9 and then take away 25. The answer is 236. What is my number?
  34. 34.A pen costs ₹2 more than a pencil. 3 pens and 5 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 9) = 3x + 153. What is x?
  37. 37.12 × ? + 15 = 63
  38. 38.I think of a number, multiply it by 7 and then take away 10. The answer is 81. What is my number?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  40. 40.Manav has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?

Answer key

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

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