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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 937 · 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.Saanvi has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 4 and then add 5. The answer is 17. What is my number?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  4. 4.5 × ? + 19 = 49
  5. 5.Solve for x: 8(x + 1) = 7x + 15. What is x?
  6. 6.I think of a number, multiply it by 6 and then take away 29. The answer is 115. What is my number?
  7. 7.Solve for x: 9(x + 6) = 2x + 180. What is x?
  8. 8.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 9(x + 2) = 6x + 51. What is x?
  10. 10.I think of a number, multiply it by 7 and then add 10. The answer is 108. What is my number?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  13. 13.3 × ? + 16 = 37
  14. 14.Solve for x: 4(x + 1) = 3x + 22. What is x?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 16 m. What is its breadth (in m)?
  16. 16.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹30 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 7 and then add 2. The answer is 212. What is my number?
  18. 18.11 × ? + 9 = 229
  19. 19.Solve for x: 8(x + 7) = x + 70. What is x?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  21. 21.5 × ? − 5 = 45
  22. 22.12 × ? + 14 = 134
  23. 23.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  24. 24.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  26. 26.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  27. 27.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  28. 28.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 4(x + 4) = x + 58. What is x?
  30. 30.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  31. 31.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  33. 33.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 3(x + 8) = 2x + 33. What is x?
  35. 35.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 9 and then add 25. The answer is 295. What is my number?
  37. 37.The length of a rectangle is 2 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  38. 38.Solve for x: 5(x + 1) = 2x + 56. What is x?
  39. 39.Manav has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?

Answer key

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

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