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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 327 · 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 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 4(x + 4) = 3x + 22. What is x?
  3. 3.I think of a number, multiply it by 3 and then take away 38. The answer is 25. What is my number?
  4. 4.Saanvi has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 7(x + 8) = 5x + 70. What is x?
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  7. 7.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  8. 8.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 3 and then take away 27. The answer is 6. What is my number?
  10. 10.10 × ? + 13 = 63
  11. 11.12 × ? + 26 = 218
  12. 12.A pen costs ₹5 more than a pencil. 4 pens and 8 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 3(x + 8) = 2x + 25. What is x?
  15. 15.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  16. 16.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 7 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  19. 19.2 × ? − 21 = 19
  20. 20.A pen costs ₹15 more than a pencil. 4 pens and 3 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 7(x + 5) = 6x + 54. What is x?
  22. 22.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  23. 23.Ananya has 16 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  24. 24.A pen costs ₹10 more than a pencil. 6 pens and 2 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  25. 25.2 × ? − 5 = 23
  26. 26.Solve for x: 8(x + 6) = 6x + 80. What is x?
  27. 27.Priya has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  29. 29.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹13 more than a pencil. 6 pens and 3 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹235 in all. What does one pencil cost (in ₹)?
  32. 32.9 × ? + 24 = 222
  33. 33.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 7 and then take away 14. The answer is 21. What is my number?
  36. 36.Kabir has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 8 and then take away 23. The answer is 105. What is my number?
  38. 38.Solve for x: 3(x + 3) = x + 37. What is x?
  39. 39.I think of a number, multiply it by 9 and then add 19. The answer is 244. What is my number?
  40. 40.The length of a rectangle is 5 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?

Answer key

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

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