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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 15 · 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.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  2. 2.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 8(x + 6) = 3x + 98. What is x?
  6. 6.Solve for x: 3(x + 8) = 2x + 32. What is x?
  7. 7.Meera has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  9. 9.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  10. 10.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  11. 11.3 × ? − 3 = 42
  12. 12.3 × ? − 16 = 8
  13. 13.A pen costs ₹14 more than a pencil. 5 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  14. 14.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹8 more than a pencil. 5 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  16. 16.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  17. 17.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 6(x + 1) = 4x + 32. What is x?
  19. 19.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  22. 22.9 × ? − 5 = 13
  23. 23.Solve for x: 9(x + 7) = 5x + 83. What is x?
  24. 24.4 × ? − 15 = 57
  25. 25.2 × ? + 9 = 19
  26. 26.The length of a rectangle is 11 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  27. 27.8 × ? + 4 = 28
  28. 28.10 × ? − 1 = 59
  29. 29.Solve for x: 6(x + 1) = 3x + 57. What is x?
  30. 30.Solve for x: 9(x + 8) = 6x + 105. What is x?
  31. 31.I think of a number, multiply it by 4 and then add 12. The answer is 128. What is my number?
  32. 32.Solve for x: 6(x + 2) = 2x + 76. What is x?
  33. 33.I think of a number, multiply it by 7 and then take away 5. The answer is 135. What is my number?
  34. 34.Diya has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then take away 16. The answer is 68. What is my number?
  37. 37.A pen costs ₹15 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 8 and then add 24. The answer is 88. What is my number?
  39. 39.I think of a number, multiply it by 8 and then add 27. The answer is 147. What is my number?
  40. 40.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹72 in all. What does one pencil cost (in ₹)?

Answer key

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

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