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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 496 · 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.Solve for x: 5(x + 6) = x + 38. What is x?
  2. 2.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  3. 3.9 × ? − 9 = 162
  4. 4.Ishaan has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  5. 5.Manav has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 3(x + 5) = 2x + 28. What is x?
  8. 8.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 9 and then add 40. The answer is 283. What is my number?
  10. 10.The length of a rectangle is 6 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  11. 11.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  13. 13.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 4 and then take away 27. The answer is 33. What is my number?
  15. 15.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  16. 16.Ishaan has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  17. 17.7 × ? − 2 = 138
  18. 18.A pen costs ₹14 more than a pencil. 2 pens and 5 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹14 more than a pencil. 3 pens and 3 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  20. 20.9 × ? + 26 = 98
  21. 21.8 × ? − 10 = 46
  22. 22.I think of a number, multiply it by 6 and then add 4. The answer is 40. What is my number?
  23. 23.I think of a number, multiply it by 9 and then add 6. The answer is 78. What is my number?
  24. 24.9 × ? − 23 = 31
  25. 25.I think of a number, multiply it by 2 and then take away 29. The answer is 3. What is my number?
  26. 26.I think of a number, multiply it by 5 and then add 34. The answer is 69. What is my number?
  27. 27.3 × ? + 13 = 58
  28. 28.A pen costs ₹4 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹14 more than a pencil. 5 pens and 3 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  31. 31.Isha has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  32. 32.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 3 and then take away 20. The answer is 37. What is my number?
  35. 35.Solve for x: 7(x + 5) = 5x + 53. What is x?
  36. 36.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  37. 37.9 × ? − 15 = 21
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 6 and then add 19. The answer is 97. What is my number?
  40. 40.I think of a number, multiply it by 3 and then add 18. The answer is 42. What is my number?

Answer key

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

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