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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 809 · 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 ₹4 more than a pencil. 3 pens and 5 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  2. 2.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  4. 4.4 × ? + 12 = 112
  5. 5.Solve for x: 4(x + 8) = 2x + 44. What is x?
  6. 6.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  8. 8.Kabir has 30 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 4(x + 6) = x + 78. What is x?
  10. 10.Solve for x: 4(x + 1) = x + 22. What is x?
  11. 11.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  13. 13.Solve for x: 8(x + 9) = x + 184. What is x?
  14. 14.The length of a rectangle is 9 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  15. 15.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 5 and then add 5. The answer is 60. What is my number?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  19. 19.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  20. 20.Vivaan has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 8 and then add 19. The answer is 163. What is my number?
  22. 22.Dev has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 6(x + 5) = 3x + 39. What is x?
  24. 24.I think of a number, multiply it by 5 and then take away 10. The answer is 5. What is my number?
  25. 25.I think of a number, multiply it by 7 and then take away 9. The answer is 47. What is my number?
  26. 26.I think of a number, multiply it by 5 and then add 39. The answer is 189. What is my number?
  27. 27.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 9 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  30. 30.A pen costs ₹2 more than a pencil. 4 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  31. 31.5 × ? + 1 = 101
  32. 32.Solve for x: 9(x + 6) = 3x + 150. What is x?
  33. 33.Solve for x: 6(x + 1) = 2x + 14. What is x?
  34. 34.5 × ? + 14 = 74
  35. 35.I think of a number, multiply it by 8 and then take away 24. The answer is 40. What is my number?
  36. 36.I think of a number, multiply it by 8 and then take away 39. The answer is 185. What is my number?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  38. 38.I think of a number, multiply it by 8 and then take away 17. The answer is 191. What is my number?
  39. 39.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  40. 40.5 × ? + 13 = 48

Answer key

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

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