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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 69 · 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.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 3 and then add 15. The answer is 36. What is my number?
  3. 3.Solve for x: 7(x + 7) = 3x + 121. What is x?
  4. 4.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  6. 6.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 4 and then take away 32. The answer is 76. What is my number?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 8 and then take away 25. The answer is 63. What is my number?
  10. 10.Solve for x: 4(x + 5) = 3x + 24. What is x?
  11. 11.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 9 and then take away 36. The answer is 234. What is my number?
  13. 13.Solve for x: 3(x + 4) = 2x + 18. What is x?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  15. 15.7 × ? − 2 = 131
  16. 16.Nisha has 26 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 6 and then take away 11. The answer is 1. What is my number?
  18. 18.9 × ? − 20 = 16
  19. 19.4 × ? − 23 = 69
  20. 20.Solve for x: 8(x + 3) = 2x + 108. What is x?
  21. 21.I think of a number, multiply it by 2 and then add 23. The answer is 53. What is my number?
  22. 22.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  24. 24.9 × ? − 13 = 176
  25. 25.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  26. 26.I think of a number, multiply it by 7 and then add 10. The answer is 101. What is my number?
  27. 27.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 5(x + 3) = 4x + 17. What is x?
  29. 29.I think of a number, multiply it by 4 and then take away 4. The answer is 112. What is my number?
  30. 30.8 × ? − 30 = 26
  31. 31.I think of a number, multiply it by 7 and then add 23. The answer is 121. What is my number?
  32. 32.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 9(x + 1) = 7x + 37. What is x?
  34. 34.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹6 more than a pencil. 2 pens and 5 pencils cost ₹33 in all. What does one pencil cost (in ₹)?
  36. 36.Zoya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 2 and then add 12. The answer is 62. What is my number?
  39. 39.Tara has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 4(x + 1) = 2x + 22. What is x?

Answer key

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

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