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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 241 · 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 ₹15 more than a pencil. 2 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 9(x + 2) = 7x + 36. What is x?
  3. 3.I think of a number, multiply it by 8 and then take away 7. The answer is 185. What is my number?
  4. 4.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  5. 5.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  7. 7.Solve for x: 8(x + 6) = 5x + 57. What is x?
  8. 8.I think of a number, multiply it by 8 and then add 15. The answer is 103. What is my number?
  9. 9.Solve for x: 8(x + 1) = 5x + 23. What is x?
  10. 10.Solve for x: 5(x + 5) = 3x + 31. What is x?
  11. 11.6 × ? − 8 = 40
  12. 12.6 × ? + 24 = 42
  13. 13.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  15. 15.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 4 and then take away 19. The answer is 81. What is my number?
  17. 17.8 × ? − 11 = 29
  18. 18.I think of a number, multiply it by 3 and then take away 17. The answer is 40. What is my number?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  20. 20.Solve for x: 5(x + 2) = 4x + 15. What is x?
  21. 21.Solve for x: 8(x + 4) = 7x + 43. What is x?
  22. 22.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 4 and then add 7. The answer is 55. What is my number?
  25. 25.2 × ? + 30 = 40
  26. 26.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 9(x + 7) = 7x + 95. What is x?
  28. 28.4 × ? + 17 = 89
  29. 29.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  34. 34.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  35. 35.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  37. 37.8 × ? − 13 = 35
  38. 38.The length of a rectangle is 14 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?

Answer key

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

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