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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 369 · 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 ₹3 more than a pencil. 2 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹13 more than a pencil. 6 pens and 2 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 9(x + 1) = 3x + 81. What is x?
  5. 5.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 6(x + 8) = 5x + 56. What is x?
  7. 7.Solve for x: 5(x + 7) = 4x + 49. What is x?
  8. 8.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 8(x + 7) = 2x + 128. What is x?
  10. 10.I think of a number, multiply it by 9 and then add 23. The answer is 167. What is my number?
  11. 11.I think of a number, multiply it by 2 and then add 12. The answer is 32. What is my number?
  12. 12.The length of a rectangle is 10 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 2 and then take away 13. The answer is 29. What is my number?
  14. 14.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  16. 16.12 × ? + 16 = 112
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  18. 18.12 × ? + 2 = 182
  19. 19.2 × ? + 3 = 9
  20. 20.I think of a number, multiply it by 9 and then add 5. The answer is 131. What is my number?
  21. 21.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 3 and then take away 8. The answer is 22. What is my number?
  23. 23.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  24. 24.Solve for x: 8(x + 9) = 6x + 108. What is x?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  26. 26.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 2) = x + 26. What is x?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  29. 29.Solve for x: 5(x + 9) = x + 77. What is x?
  30. 30.12 × ? − 2 = 202
  31. 31.Solve for x: 4(x + 3) = x + 24. What is x?
  32. 32.Solve for x: 3(x + 2) = x + 8. What is x?
  33. 33.A pen costs ₹11 more than a pencil. 6 pens and 5 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 8 and then take away 10. The answer is 94. What is my number?
  35. 35.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  37. 37.I think of a number, multiply it by 8 and then take away 6. The answer is 18. What is my number?
  38. 38.Solve for x: 9(x + 6) = 3x + 66. What is x?
  39. 39.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  40. 40.The length of a rectangle is 4 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?

Answer key

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

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