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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 795 · 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.Solve for x: 3(x + 8) = 2x + 29. What is x?
  2. 2.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  3. 3.4 × ? − 10 = 26
  4. 4.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  6. 6.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  7. 7.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  8. 8.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹7 more than a pencil. 3 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 3 and then add 24. The answer is 51. What is my number?
  12. 12.A pen costs ₹13 more than a pencil. 4 pens and 7 pencils cost ₹272 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 9 and then take away 25. The answer is 20. What is my number?
  14. 14.11 × ? − 3 = 261
  15. 15.I think of a number, multiply it by 5 and then take away 24. The answer is 46. What is my number?
  16. 16.Solve for x: 7(x + 5) = x + 59. What is x?
  17. 17.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  19. 19.Farhan has 22 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 7) = 2x + 40. What is x?
  22. 22.I think of a number, multiply it by 7 and then add 10. The answer is 122. What is my number?
  23. 23.11 × ? − 24 = 229
  24. 24.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 3 and then add 40. The answer is 52. What is my number?
  26. 26.4 × ? − 9 = 55
  27. 27.A pen costs ₹9 more than a pencil. 5 pens and 2 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 7 and then take away 39. The answer is 157. What is my number?
  29. 29.I think of a number, multiply it by 8 and then take away 17. The answer is 39. What is my number?
  30. 30.I think of a number, multiply it by 3 and then take away 13. The answer is 65. What is my number?
  31. 31.11 × ? − 7 = 213
  32. 32.I think of a number, multiply it by 2 and then add 9. The answer is 51. What is my number?
  33. 33.9 × ? − 28 = 116
  34. 34.3 × ? − 1 = 11
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  36. 36.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  37. 37.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  38. 38.12 × ? + 24 = 48
  39. 39.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  40. 40.Ananya has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?

Answer key

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

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