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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 619 · 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 11 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  2. 2.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  5. 5.Solve for x: 5(x + 1) = x + 29. What is x?
  6. 6.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  7. 7.12 × ? + 10 = 58
  8. 8.I think of a number, multiply it by 6 and then take away 26. The answer is 4. What is my number?
  9. 9.5 × ? − 15 = 20
  10. 10.2 × ? + 14 = 64
  11. 11.4 × ? − 15 = 61
  12. 12.Solve for x: 5(x + 7) = 3x + 65. What is x?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  14. 14.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  15. 15.5 × ? − 27 = 13
  16. 16.I think of a number, multiply it by 5 and then add 29. The answer is 39. What is my number?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then add 23. The answer is 95. What is my number?
  19. 19.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  20. 20.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  21. 21.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  22. 22.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  23. 23.2 × ? + 3 = 11
  24. 24.4 × ? + 16 = 32
  25. 25.Solve for x: 8(x + 5) = 3x + 140. What is x?
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  27. 27.A pen costs ₹3 more than a pencil. 5 pens and 8 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  29. 29.I think of a number, multiply it by 3 and then add 37. The answer is 91. What is my number?
  30. 30.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 8 and then add 24. The answer is 104. What is my number?
  32. 32.Solve for x: 3(x + 1) = 2x + 15. What is x?
  33. 33.I think of a number, multiply it by 2 and then take away 3. The answer is 57. What is my number?
  34. 34.I think of a number, multiply it by 4 and then add 8. The answer is 32. What is my number?
  35. 35.I think of a number, multiply it by 2 and then add 14. The answer is 64. What is my number?
  36. 36.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 15 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 2 and then add 34. The answer is 76. What is my number?
  40. 40.I think of a number, multiply it by 8 and then add 7. The answer is 215. What is my number?

Answer key

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

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