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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 19 · 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 ₹15 more than a pencil. 2 pens and 6 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 6(x + 7) = 2x + 98. What is x?
  3. 3.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  5. 5.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  6. 6.Diya has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 8 and then add 14. The answer is 222. What is my number?
  8. 8.I think of a number, multiply it by 7 and then add 6. The answer is 125. What is my number?
  9. 9.I think of a number, multiply it by 6 and then take away 12. The answer is 66. What is my number?
  10. 10.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 9(x + 8) = 7x + 98. What is x?
  12. 12.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹8 more than a pencil. 6 pens and 6 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  14. 14.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 5(x + 8) = x + 92. What is x?
  17. 17.Solve for x: 3(x + 9) = x + 37. What is x?
  18. 18.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 3 and then add 17. The answer is 86. What is my number?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  21. 21.6 × ? − 26 = 4
  22. 22.I think of a number, multiply it by 5 and then take away 2. The answer is 8. What is my number?
  23. 23.I think of a number, multiply it by 3 and then take away 3. The answer is 81. What is my number?
  24. 24.Farhan has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹8 more than a pencil. 5 pens and 2 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  26. 26.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹3 more than a pencil. 6 pens and 4 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 5(x + 5) = 3x + 49. What is x?
  29. 29.7 × ? + 13 = 55
  30. 30.Pooja has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 8(x + 3) = 6x + 36. What is x?
  32. 32.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  33. 33.Ishaan has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 12 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  36. 36.Sneha has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 9(x + 4) = 5x + 88. What is x?
  38. 38.I think of a number, multiply it by 7 and then add 11. The answer is 193. What is my number?
  39. 39.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹5 more than a pencil. 2 pens and 5 pencils cost ₹143 in all. What does one pencil cost (in ₹)?

Answer key

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

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