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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 12 · 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 ₹10 more than a pencil. 3 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 3 and then add 35. The answer is 44. What is my number?
  4. 4.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  6. 6.Priya has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  7. 7.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  8. 8.Dev has 13 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 3 and then add 5. The answer is 11. What is my number?
  10. 10.Solve for x: 6(x + 5) = 4x + 62. What is x?
  11. 11.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  12. 12.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹15 more than a pencil. 2 pens and 7 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  15. 15.Karan has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 5(x + 4) = 3x + 24. What is x?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  18. 18.3 × ? − 25 = 26
  19. 19.I think of a number, multiply it by 9 and then add 23. The answer is 95. What is my number?
  20. 20.I think of a number, multiply it by 2 and then add 28. The answer is 88. What is my number?
  21. 21.Sneha has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 9(x + 8) = 3x + 138. What is x?
  24. 24.Solve for x: 7(x + 2) = 3x + 34. What is x?
  25. 25.3 × ? + 20 = 56
  26. 26.I think of a number, multiply it by 2 and then add 11. The answer is 31. What is my number?
  27. 27.Solve for x: 8(x + 8) = 2x + 148. What is x?
  28. 28.Ishaan has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  30. 30.9 × ? + 4 = 58
  31. 31.11 × ? − 15 = 84
  32. 32.Solve for x: 4(x + 3) = 3x + 13. What is x?
  33. 33.I think of a number, multiply it by 3 and then take away 13. The answer is 50. What is my number?
  34. 34.I think of a number, multiply it by 7 and then take away 23. The answer is 145. What is my number?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  36. 36.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 2 and then add 10. The answer is 42. What is my number?
  38. 38.Solve for x: 8(x + 6) = 3x + 63. What is x?
  39. 39.Solve for x: 5(x + 7) = 2x + 74. What is x?
  40. 40.I think of a number, multiply it by 3 and then add 3. The answer is 33. What is my number?

Answer key

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

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