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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 753 · 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. 1.11 × ? + 4 = 235
  2. 2.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹129 in all. How many ₹5 coins are there?
  3. 3.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  5. 5.4 × ? − 2 = 42
  6. 6.I think of a number, multiply it by 3 and then add 34. The answer is 43. What is my number?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  8. 8.Solve for x: 6(x + 4) = 3x + 81. What is x?
  9. 9.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 6(x + 5) = x + 120. What is x?
  11. 11.Farhan has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  12. 12.Solve for x: 3(x + 5) = x + 49. What is x?
  13. 13.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  14. 14.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  17. 17.Solve for x: 4(x + 3) = 2x + 16. What is x?
  18. 18.I think of a number, multiply it by 2 and then take away 7. The answer is 3. What is my number?
  19. 19.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 7 and then add 5. The answer is 117. What is my number?
  21. 21.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 9 and then add 33. The answer is 123. What is my number?
  23. 23.3 × ? − 9 = 9
  24. 24.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  25. 25.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  26. 26.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 9 and then take away 34. The answer is 56. What is my number?
  28. 28.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 7 and then take away 10. The answer is 130. What is my number?
  30. 30.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 5(x + 2) = 2x + 64. What is x?
  32. 32.Solve for x: 5(x + 9) = x + 49. What is x?
  33. 33.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  35. 35.Saanvi has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  37. 37.8 × ? − 17 = 23
  38. 38.I think of a number, multiply it by 9 and then take away 16. The answer is 200. What is my number?
  39. 39.I think of a number, multiply it by 6 and then take away 33. The answer is 3. What is my number?
  40. 40.2 × ? + 9 = 13

Answer key

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

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