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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 784 · 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.A pen costs ₹13 more than a pencil. 6 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  2. 2.3 × ? − 2 = 7
  3. 3.I think of a number, multiply it by 8 and then add 10. The answer is 42. What is my number?
  4. 4.Solve for x: 3(x + 3) = x + 33. What is x?
  5. 5.8 × ? + 29 = 197
  6. 6.Solve for x: 5(x + 4) = 3x + 60. What is x?
  7. 7.I think of a number, multiply it by 6 and then take away 7. The answer is 5. What is my number?
  8. 8.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  10. 10.3 × ? + 27 = 48
  11. 11.I think of a number, multiply it by 4 and then take away 8. The answer is 52. What is my number?
  12. 12.2 × ? + 8 = 26
  13. 13.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 2 and then take away 19. The answer is 15. What is my number?
  15. 15.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 6(x + 2) = x + 42. What is x?
  17. 17.The length of a rectangle is 4 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  18. 18.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 7 and then take away 35. The answer is 175. What is my number?
  20. 20.I think of a number, multiply it by 5 and then take away 12. The answer is 138. What is my number?
  21. 21.Sneha has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  25. 25.Solve for x: 6(x + 5) = x + 70. What is x?
  26. 26.I think of a number, multiply it by 3 and then add 16. The answer is 61. What is my number?
  27. 27.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  28. 28.11 × ? − 3 = 107
  29. 29.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  30. 30.I think of a number, multiply it by 3 and then add 6. The answer is 24. What is my number?
  31. 31.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  32. 32.2 × ? + 13 = 25
  33. 33.Manav has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  35. 35.I think of a number, multiply it by 5 and then take away 26. The answer is 79. What is my number?
  36. 36.Solve for x: 9(x + 7) = 8x + 65. What is x?
  37. 37.I think of a number, multiply it by 2 and then take away 38. The answer is 12. What is my number?
  38. 38.I think of a number, multiply it by 4 and then add 1. The answer is 9. What is my number?
  39. 39.A pen costs ₹2 more than a pencil. 4 pens and 3 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 5(x + 2) = 4x + 25. What is x?

Answer key

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

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