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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 522 · 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.Aarav has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 9(x + 5) = 2x + 115. What is x?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 7 and then add 7. The answer is 203. What is my number?
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  6. 6.A pen costs ₹2 more than a pencil. 2 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  8. 8.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  10. 10.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 4 and then add 11. The answer is 39. What is my number?
  12. 12.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  13. 13.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  15. 15.11 × ? − 19 = 234
  16. 16.Solve for x: 5(x + 4) = x + 32. What is x?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  18. 18.Solve for x: 3(x + 8) = 2x + 27. What is x?
  19. 19.Solve for x: 6(x + 7) = 2x + 118. What is x?
  20. 20.Solve for x: 8(x + 8) = 7x + 66. What is x?
  21. 21.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 9(x + 5) = 7x + 71. What is x?
  23. 23.Solve for x: 4(x + 3) = 2x + 46. What is x?
  24. 24.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 6 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  26. 26.8 × ? − 4 = 108
  27. 27.Solve for x: 8(x + 3) = x + 87. What is x?
  28. 28.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  30. 30.10 × ? − 4 = 126
  31. 31.5 × ? − 16 = 49
  32. 32.I think of a number, multiply it by 3 and then add 12. The answer is 75. What is my number?
  33. 33.Solve for x: 7(x + 1) = 4x + 58. What is x?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  35. 35.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 5 and then add 10. The answer is 110. What is my number?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 4 and then add 5. The answer is 85. What is my number?
  40. 40.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?

Answer key

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

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