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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 757 · 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. 1.5 × ? + 25 = 45
  2. 2.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  3. 3.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  5. 5.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 9 and then take away 9. The answer is 54. What is my number?
  7. 7.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 7 and then add 17. The answer is 87. What is my number?
  9. 9.I think of a number, multiply it by 6 and then add 33. The answer is 141. What is my number?
  10. 10.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹286 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  12. 12.Solve for x: 3(x + 6) = x + 42. What is x?
  13. 13.Solve for x: 8(x + 2) = 2x + 40. What is x?
  14. 14.2 × ? + 20 = 30
  15. 15.6 × ? + 19 = 61
  16. 16.I think of a number, multiply it by 3 and then add 22. The answer is 34. What is my number?
  17. 17.2 × ? + 23 = 65
  18. 18.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  19. 19.Sneha has 27 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 5 and then add 37. The answer is 172. What is my number?
  22. 22.A pen costs ₹8 more than a pencil. 2 pens and 5 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 2 and then add 32. The answer is 44. What is my number?
  24. 24.12 × ? − 25 = 239
  25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  26. 26.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  27. 27.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 3 and then add 39. The answer is 63. What is my number?
  31. 31.11 × ? − 25 = 30
  32. 32.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 9 and then add 2. The answer is 254. What is my number?
  35. 35.9 × ? − 4 = 68
  36. 36.Kabir has 26 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 7(x + 4) = x + 52. What is x?
  38. 38.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 11 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  40. 40.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?

Answer key

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

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