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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 811 · 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.Meera has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 9. The answer is 29. What is my number?
  6. 6.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  8. 8.10 × ? + 9 = 209
  9. 9.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹9 more than a pencil. 2 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  11. 11.11 × ? + 19 = 272
  12. 12.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  14. 14.Solve for x: 4(x + 4) = 2x + 18. What is x?
  15. 15.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  16. 16.8 × ? + 15 = 55
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  18. 18.Solve for x: 6(x + 4) = 3x + 48. What is x?
  19. 19.Solve for x: 4(x + 6) = x + 60. What is x?
  20. 20.Solve for x: 8(x + 5) = 7x + 45. What is x?
  21. 21.Solve for x: 5(x + 2) = 4x + 18. What is x?
  22. 22.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  23. 23.Solve for x: 4(x + 4) = 2x + 20. What is x?
  24. 24.Solve for x: 9(x + 6) = 4x + 94. What is x?
  25. 25.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 8 and then take away 18. The answer is 214. What is my number?
  27. 27.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 5(x + 4) = 4x + 34. What is x?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  31. 31.Solve for x: 8(x + 7) = 3x + 111. What is x?
  32. 32.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  33. 33.Solve for x: 3(x + 5) = 2x + 22. What is x?
  34. 34.Sneha has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  35. 35.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  37. 37.Solve for x: 6(x + 9) = 5x + 60. What is x?
  38. 38.4 × ? + 28 = 36
  39. 39.Solve for x: 6(x + 8) = 3x + 90. What is x?
  40. 40.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?

Answer key

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

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