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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 127 · 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 × ? − 10 = 50
  2. 2.6 × ? − 15 = 45
  3. 3.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then add 8. The answer is 127. What is my number?
  5. 5.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  6. 6.4 × ? − 8 = 32
  7. 7.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  9. 9.Solve for x: 4(x + 9) = 3x + 47. What is x?
  10. 10.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹226 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 100 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 3 and then add 33. The answer is 105. What is my number?
  13. 13.I think of a number, multiply it by 5 and then take away 29. The answer is 36. What is my number?
  14. 14.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  15. 15.10 × ? − 26 = 4
  16. 16.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  17. 17.Solve for x: 4(x + 6) = 2x + 56. What is x?
  18. 18.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 5 and then take away 3. The answer is 47. What is my number?
  20. 20.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  21. 21.6 × ? − 3 = 15
  22. 22.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  24. 24.A pen costs ₹14 more than a pencil. 2 pens and 8 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 5(x + 4) = 4x + 27. What is x?
  26. 26.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹191 in all. What does one pencil cost (in ₹)?
  28. 28.12 × ? + 18 = 234
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  30. 30.Solve for x: 6(x + 6) = 5x + 41. What is x?
  31. 31.Solve for x: 6(x + 6) = 2x + 100. What is x?
  32. 32.I think of a number, multiply it by 2 and then add 13. The answer is 21. What is my number?
  33. 33.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹171 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 8 and then add 21. The answer is 101. What is my number?
  35. 35.9 × ? + 10 = 91
  36. 36.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  37. 37.Solve for x: 5(x + 9) = x + 109. What is x?
  38. 38.I think of a number, multiply it by 8 and then add 37. The answer is 133. What is my number?
  39. 39.I think of a number, multiply it by 6 and then take away 11. The answer is 73. What is my number?
  40. 40.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?

Answer key

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

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