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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 600 · 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: 8(x + 5) = 3x + 55. What is x?
  2. 2.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 1. The answer is 106. What is my number?
  6. 6.10 × ? − 17 = 23
  7. 7.7 × ? − 9 = 145
  8. 8.Solve for x: 5(x + 6) = 4x + 42. What is x?
  9. 9.Solve for x: 5(x + 1) = 3x + 15. What is x?
  10. 10.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹255 in all. What does one pencil cost (in ₹)?
  12. 12.5 × ? − 13 = 37
  13. 13.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  15. 15.12 × ? − 25 = 95
  16. 16.The length of a rectangle is 7 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  17. 17.5 × ? − 15 = 15
  18. 18.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  19. 19.6 × ? − 29 = 91
  20. 20.Solve for x: 6(x + 1) = 3x + 30. What is x?
  21. 21.Solve for x: 4(x + 1) = 2x + 40. What is x?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 9 and then add 26. The answer is 44. What is my number?
  24. 24.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  26. 26.Karan has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 2 and then add 36. The answer is 42. What is my number?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  30. 30.Rohan has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  31. 31.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹11 more than a pencil. 4 pens and 3 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  33. 33.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  34. 34.12 × ? − 25 = 227
  35. 35.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  37. 37.Solve for x: 6(x + 2) = x + 107. What is x?
  38. 38.I think of a number, multiply it by 2 and then add 15. The answer is 49. What is my number?
  39. 39.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  40. 40.Rohan has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?

Answer key

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

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