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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 740 · 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.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 7(x + 3) = 4x + 42. What is x?
  3. 3.7 × ? − 28 = 84
  4. 4.Tara has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 6 and then take away 23. The answer is 145. What is my number?
  6. 6.7 × ? − 9 = 138
  7. 7.A pen costs ₹14 more than a pencil. 2 pens and 2 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  10. 10.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  11. 11.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 3 and then take away 32. The answer is 40. What is my number?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  16. 16.4 × ? + 6 = 66
  17. 17.I think of a number, multiply it by 3 and then take away 20. The answer is 46. What is my number?
  18. 18.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  19. 19.4 × ? − 3 = 69
  20. 20.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 5(x + 9) = 2x + 60. What is x?
  22. 22.I think of a number, multiply it by 5 and then take away 1. The answer is 79. What is my number?
  23. 23.I think of a number, multiply it by 5 and then take away 7. The answer is 23. What is my number?
  24. 24.Solve for x: 9(x + 3) = 2x + 55. What is x?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 4 and then add 39. The answer is 91. What is my number?
  28. 28.9 × ? − 2 = 61
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 8 and then add 4. The answer is 116. What is my number?
  31. 31.A pen costs ₹10 more than a pencil. 6 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 8 and then take away 17. The answer is 167. What is my number?
  34. 34.9 × ? − 21 = 159
  35. 35.I think of a number, multiply it by 3 and then add 28. The answer is 70. What is my number?
  36. 36.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  37. 37.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 9 and then add 8. The answer is 215. What is my number?
  39. 39.I think of a number, multiply it by 7 and then take away 4. The answer is 178. What is my number?
  40. 40.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?

Answer key

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

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