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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 182 · 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.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  2. 2.11 × ? − 25 = 52
  3. 3.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 8 and then take away 10. The answer is 166. What is my number?
  5. 5.12 × ? − 27 = 213
  6. 6.The length of a rectangle is 12 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  7. 7.Solve for x: 7(x + 5) = 3x + 67. What is x?
  8. 8.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 9(x + 5) = 5x + 69. What is x?
  10. 10.2 × ? + 28 = 46
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  12. 12.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  13. 13.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹9 more than a pencil. 2 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  15. 15.Solve for x: 4(x + 2) = 3x + 20. What is x?
  16. 16.Ishaan has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  17. 17.Saanvi has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 9) = 2x + 48. What is x?
  19. 19.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  21. 21.Manav has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  22. 22.Priya has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 9 and then add 11. The answer is 227. What is my number?
  24. 24.Solve for x: 7(x + 8) = 2x + 156. What is x?
  25. 25.The length of a rectangle is 7 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 9 and then add 34. The answer is 142. What is my number?
  27. 27.3 × ? + 21 = 54
  28. 28.Solve for x: 9(x + 1) = 6x + 18. What is x?
  29. 29.2 × ? + 4 = 16
  30. 30.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  32. 32.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  34. 34.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 3 and then add 16. The answer is 43. What is my number?
  36. 36.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  38. 38.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  39. 39.Zoya has 23 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹9 more than a pencil. 4 pens and 4 pencils cost ₹76 in all. What does one pencil cost (in ₹)?

Answer key

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

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