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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 550 · 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.Solve for x: 6(x + 1) = 3x + 21. What is x?
  2. 2.I think of a number, multiply it by 9 and then take away 7. The answer is 182. What is my number?
  3. 3.A pen costs ₹13 more than a pencil. 5 pens and 5 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 3 and then add 37. The answer is 121. What is my number?
  5. 5.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  6. 6.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  7. 7.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  9. 9.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  11. 11.11 × ? − 11 = 22
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  13. 13.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  14. 14.8 × ? + 8 = 32
  15. 15.10 × ? + 30 = 130
  16. 16.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  17. 17.Nisha has 29 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  18. 18.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹9 more than a pencil. 5 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  20. 20.Tara has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 5(x + 9) = 4x + 54. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 3 and then take away 19. The answer is 20. What is my number?
  24. 24.4 × ? − 8 = 12
  25. 25.Solve for x: 7(x + 6) = 2x + 92. What is x?
  26. 26.Solve for x: 3(x + 3) = 2x + 24. What is x?
  27. 27.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 7 and then add 36. The answer is 239. What is my number?
  29. 29.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  31. 31.10 × ? − 13 = 97
  32. 32.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  33. 33.Solve for x: 6(x + 8) = 3x + 72. What is x?
  34. 34.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 3 and then add 36. The answer is 48. What is my number?
  36. 36.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 3 and then add 23. The answer is 71. What is my number?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  40. 40.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹188 in all. What does one pencil cost (in ₹)?

Answer key

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

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