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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 526 · 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.Zoya has 17 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  3. 3.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  4. 4.11 × ? − 19 = 47
  5. 5.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  6. 6.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹13 more than a pencil. 3 pens and 5 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  10. 10.6 × ? − 16 = 62
  11. 11.I think of a number, multiply it by 9 and then add 7. The answer is 61. What is my number?
  12. 12.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 5 and then add 38. The answer is 73. What is my number?
  15. 15.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 14 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  17. 17.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  20. 20.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 7 and then add 22. The answer is 190. What is my number?
  23. 23.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  24. 24.Solve for x: 3(x + 6) = 2x + 19. What is x?
  25. 25.2 × ? + 14 = 26
  26. 26.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 6(x + 4) = 2x + 88. What is x?
  28. 28.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  29. 29.Tara has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  31. 31.10 × ? + 6 = 46
  32. 32.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  33. 33.I think of a number, multiply it by 8 and then add 6. The answer is 78. What is my number?
  34. 34.I think of a number, multiply it by 4 and then add 28. The answer is 112. What is my number?
  35. 35.The length of a rectangle is 2 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 6 and then take away 12. The answer is 42. What is my number?
  37. 37.Dev has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  38. 38.Saanvi has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  39. 39.2 × ? − 9 = 7
  40. 40.Solve for x: 7(x + 3) = 4x + 60. What is x?

Answer key

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

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