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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 355 · 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 ₹2 more than a pencil. 3 pens and 4 pencils cost ₹34 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹14 more than a pencil. 6 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  3. 3.6 × ? + 26 = 140
  4. 4.I think of a number, multiply it by 4 and then add 14. The answer is 118. What is my number?
  5. 5.Solve for x: 8(x + 7) = 6x + 68. What is x?
  6. 6.Solve for x: 4(x + 4) = 2x + 18. What is x?
  7. 7.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  8. 8.Diya has 25 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  9. 9.Aarav has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 3(x + 1) = x + 25. What is x?
  11. 11.Aarav has 29 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  12. 12.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  13. 13.Solve for x: 6(x + 3) = x + 58. What is x?
  14. 14.A pen costs ₹4 more than a pencil. 6 pens and 8 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  15. 15.Zoya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  18. 18.Rohan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  20. 20.7 × ? − 9 = 110
  21. 21.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  22. 22.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 3(x + 3) = x + 19. What is x?
  24. 24.I think of a number, multiply it by 5 and then add 24. The answer is 34. What is my number?
  25. 25.I think of a number, multiply it by 3 and then add 18. The answer is 57. What is my number?
  26. 26.I think of a number, multiply it by 4 and then add 7. The answer is 95. What is my number?
  27. 27.I think of a number, multiply it by 9 and then add 30. The answer is 75. What is my number?
  28. 28.I think of a number, multiply it by 6 and then take away 6. The answer is 12. What is my number?
  29. 29.A pen costs ₹5 more than a pencil. 5 pens and 7 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  30. 30.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  31. 31.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 7 and then add 3. The answer is 80. What is my number?
  33. 33.11 × ? + 8 = 162
  34. 34.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 3(x + 8) = x + 60. What is x?
  36. 36.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 3(x + 1) = x + 31. What is x?
  38. 38.Solve for x: 6(x + 9) = 5x + 59. What is x?
  39. 39.I think of a number, multiply it by 8 and then add 14. The answer is 102. What is my number?
  40. 40.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?

Answer key

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

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