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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 206 · 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.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 8(x + 5) = 7x + 46. What is x?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  4. 4.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 4 and then add 34. The answer is 114. What is my number?
  6. 6.I think of a number, multiply it by 3 and then add 10. The answer is 55. What is my number?
  7. 7.Solve for x: 4(x + 2) = 3x + 22. What is x?
  8. 8.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 5 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  10. 10.6 × ? + 24 = 60
  11. 11.Solve for x: 6(x + 2) = 4x + 24. What is x?
  12. 12.5 × ? + 11 = 26
  13. 13.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  16. 16.5 × ? + 23 = 133
  17. 17.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 6 and then add 22. The answer is 166. What is my number?
  19. 19.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 8 and then take away 8. The answer is 128. What is my number?
  21. 21.Solve for x: 8(x + 6) = 2x + 66. What is x?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  23. 23.Solve for x: 3(x + 9) = 2x + 46. What is x?
  24. 24.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹4 more than a pencil. 3 pens and 6 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 2 and then take away 18. The answer is 24. What is my number?
  28. 28.Solve for x: 8(x + 4) = 4x + 64. What is x?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 2 and then add 8. The answer is 60. What is my number?
  31. 31.The length of a rectangle is 15 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 12 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 3 and then add 29. The answer is 56. What is my number?
  34. 34.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  36. 36.Solve for x: 3(x + 8) = x + 64. What is x?
  37. 37.I think of a number, multiply it by 5 and then take away 25. The answer is 25. What is my number?
  38. 38.4 × ? + 19 = 99
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  40. 40.Solve for x: 9(x + 7) = 4x + 133. What is x?

Answer key

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

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