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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 957 · 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.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  2. 2.Dev has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 4 and then add 5. The answer is 29. What is my number?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  5. 5.Nisha has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  6. 6.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  7. 7.I think of a number, multiply it by 9 and then add 15. The answer is 150. What is my number?
  8. 8.The length of a rectangle is 8 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  9. 9.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  11. 11.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  12. 12.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  13. 13.6 × ? − 28 = 50
  14. 14.6 × ? − 6 = 24
  15. 15.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  16. 16.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 5(x + 9) = 3x + 47. What is x?
  18. 18.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  19. 19.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 4(x + 9) = 2x + 60. What is x?
  21. 21.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 9 and then add 21. The answer is 129. What is my number?
  23. 23.11 × ? + 13 = 57
  24. 24.Solve for x: 7(x + 5) = 3x + 87. What is x?
  25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  26. 26.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  29. 29.Solve for x: 4(x + 2) = 2x + 26. What is x?
  30. 30.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  31. 31.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  32. 32.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹14 more than a pencil. 5 pens and 8 pencils cost ₹265 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then add 7. The answer is 49. What is my number?
  35. 35.Solve for x: 4(x + 9) = 2x + 76. What is x?
  36. 36.8 × ? + 9 = 73
  37. 37.I think of a number, multiply it by 5 and then add 36. The answer is 91. What is my number?
  38. 38.Solve for x: 8(x + 5) = 7x + 53. What is x?
  39. 39.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?

Answer key

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

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