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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 134 · 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 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  2. 2.7 × ? + 20 = 48
  3. 3.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  4. 4.I think of a number, multiply it by 3 and then take away 20. The answer is 46. What is my number?
  5. 5.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  7. 7.6 × ? + 9 = 27
  8. 8.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 7 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  12. 12.Solve for x: 6(x + 6) = 3x + 90. What is x?
  13. 13.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 6(x + 2) = 5x + 19. What is x?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  16. 16.A pen costs ₹10 more than a pencil. 2 pens and 5 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 9 and then add 5. The answer is 23. What is my number?
  19. 19.9 × ? − 1 = 134
  20. 20.4 × ? − 30 = 10
  21. 21.Rohan has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 4 and then take away 15. The answer is 93. What is my number?
  24. 24.I think of a number, multiply it by 7 and then add 26. The answer is 75. What is my number?
  25. 25.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 7 and then take away 20. The answer is 92. What is my number?
  28. 28.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 6(x + 7) = x + 107. What is x?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  31. 31.A pen costs ₹12 more than a pencil. 4 pens and 7 pencils cost ₹235 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  33. 33.8 × ? − 9 = 175
  34. 34.Dev has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹11 more than a pencil. 5 pens and 5 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  37. 37.3 × ? + 21 = 42
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  39. 39.2 × ? + 16 = 46
  40. 40.I think of a number, multiply it by 4 and then add 1. The answer is 117. What is my number?

Answer key

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

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