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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 803 · 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.Ishaan has 28 coins, all ₹5 and ₹2 coins, worth ₹128 in all. How many ₹5 coins are there?
  2. 2.6 × ? − 7 = 95
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  5. 5.5 × ? − 15 = 30
  6. 6.I think of a number, multiply it by 6 and then take away 25. The answer is 11. What is my number?
  7. 7.5 × ? + 30 = 45
  8. 8.Solve for x: 6(x + 1) = 5x + 20. What is x?
  9. 9.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹139 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 7 and then add 26. The answer is 110. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 1. The answer is 172. What is my number?
  15. 15.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  17. 17.Sneha has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 8(x + 7) = 4x + 108. What is x?
  19. 19.The length of a rectangle is 10 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 8 and then add 27. The answer is 123. What is my number?
  21. 21.6 × ? − 11 = 1
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  23. 23.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹7 more than a pencil. 5 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹3 more than a pencil. 3 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  27. 27.Solve for x: 9(x + 8) = 8x + 83. What is x?
  28. 28.10 × ? + 4 = 164
  29. 29.8 × ? + 19 = 139
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  31. 31.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 2 and then add 6. The answer is 16. What is my number?
  33. 33.9 × ? + 21 = 39
  34. 34.I think of a number, multiply it by 3 and then take away 12. The answer is 27. What is my number?
  35. 35.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 9(x + 4) = 7x + 66. What is x?
  37. 37.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  38. 38.12 × ? + 8 = 32
  39. 39.Arjun has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 9(x + 8) = 4x + 87. What is x?

Answer key

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

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