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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 564 · 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 ₹13 more than a pencil. 4 pens and 7 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  3. 3.A pen costs ₹6 more than a pencil. 2 pens and 8 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  6. 6.Solve for x: 9(x + 2) = 2x + 81. What is x?
  7. 7.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 6(x + 2) = 5x + 16. What is x?
  10. 10.I think of a number, multiply it by 9 and then add 34. The answer is 115. What is my number?
  11. 11.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  12. 12.12 × ? + 19 = 187
  13. 13.A pen costs ₹9 more than a pencil. 4 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  14. 14.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹48 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 58 m. What is its breadth (in m)?
  16. 16.Solve for x: 4(x + 1) = 2x + 18. What is x?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  19. 19.3 × ? + 20 = 92
  20. 20.12 × ? − 1 = 227
  21. 21.I think of a number, multiply it by 3 and then add 5. The answer is 83. What is my number?
  22. 22.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹240 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  24. 24.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  25. 25.9 × ? + 17 = 53
  26. 26.Solve for x: 4(x + 7) = x + 34. What is x?
  27. 27.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 4(x + 9) = 2x + 38. What is x?
  29. 29.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 4 and then add 22. The answer is 78. What is my number?
  31. 31.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  32. 32.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  34. 34.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 3 and then take away 18. The answer is 33. What is my number?
  36. 36.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 3 and then add 14. The answer is 89. What is my number?
  38. 38.Solve for x: 7(x + 6) = 2x + 137. What is x?
  39. 39.12 × ? + 4 = 100
  40. 40.6 × ? − 5 = 43

Answer key

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

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