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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 967 · 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.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 6(x + 4) = 3x + 69. What is x?
  3. 3.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then add 11. The answer is 99. What is my number?
  6. 6.A pen costs ₹10 more than a pencil. 2 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  8. 8.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  9. 9.7 × ? + 4 = 130
  10. 10.Solve for x: 3(x + 4) = 2x + 15. What is x?
  11. 11.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 9 and then add 15. The answer is 60. What is my number?
  14. 14.The length of a rectangle is 5 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  16. 16.5 × ? − 9 = 31
  17. 17.11 × ? + 9 = 119
  18. 18.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 7(x + 1) = x + 55. What is x?
  20. 20.I think of a number, multiply it by 9 and then add 10. The answer is 181. What is my number?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  22. 22.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 3(x + 9) = 2x + 29. What is x?
  24. 24.Solve for x: 5(x + 9) = 4x + 52. What is x?
  25. 25.I think of a number, multiply it by 7 and then add 22. The answer is 141. What is my number?
  26. 26.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  27. 27.Dev has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹6 more than a pencil. 5 pens and 5 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  29. 29.6 × ? − 10 = 20
  30. 30.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  31. 31.Priya has 27 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 4(x + 2) = x + 11. What is x?
  33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 5 and then take away 30. The answer is 80. What is my number?
  35. 35.I think of a number, multiply it by 9 and then take away 37. The answer is 233. What is my number?
  36. 36.Solve for x: 3(x + 1) = x + 37. What is x?
  37. 37.Solve for x: 3(x + 5) = 2x + 19. What is x?
  38. 38.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 6 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  40. 40.Solve for x: 9(x + 4) = 6x + 81. What is x?

Answer key

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

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