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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 964 · 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 ₹13 more than a pencil. 2 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  3. 3.Aarav has 30 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  4. 4.2 × ? + 7 = 49
  5. 5.Arjun has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  6. 6.5 × ? − 10 = 10
  7. 7.2 × ? + 16 = 20
  8. 8.Solve for x: 4(x + 3) = 3x + 14. What is x?
  9. 9.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 2 and then add 5. The answer is 25. What is my number?
  11. 11.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  12. 12.Vivaan has 21 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then add 1. The answer is 13. What is my number?
  16. 16.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 6 and then take away 39. The answer is 21. What is my number?
  18. 18.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 8(x + 4) = 5x + 74. What is x?
  20. 20.I think of a number, multiply it by 6 and then take away 26. The answer is 58. What is my number?
  21. 21.I think of a number, multiply it by 3 and then add 26. The answer is 47. What is my number?
  22. 22.9 × ? − 16 = 29
  23. 23.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 5(x + 2) = x + 82. What is x?
  25. 25.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  26. 26.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 7(x + 1) = 5x + 27. What is x?
  29. 29.Arjun has 21 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 2 and then take away 6. The answer is 26. What is my number?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  32. 32.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹265 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  34. 34.Solve for x: 5(x + 5) = 3x + 39. What is x?
  35. 35.Solve for x: 8(x + 6) = 7x + 61. What is x?
  36. 36.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  37. 37.2 × ? + 28 = 46
  38. 38.Solve for x: 9(x + 9) = 8x + 82. What is x?
  39. 39.The length of a rectangle is 12 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  40. 40.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?

Answer key

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

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