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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 230 · 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.Arjun has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  2. 2.8 × ? − 1 = 103
  3. 3.Meera has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 6(x + 6) = x + 51. What is x?
  5. 5.Solve for x: 7(x + 1) = 5x + 29. What is x?
  6. 6.12 × ? + 2 = 134
  7. 7.I think of a number, multiply it by 4 and then add 11. The answer is 47. What is my number?
  8. 8.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  9. 9.4 × ? − 10 = 38
  10. 10.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 5 and then add 31. The answer is 61. What is my number?
  12. 12.8 × ? − 10 = 30
  13. 13.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  14. 14.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 12 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  17. 17.Solve for x: 8(x + 9) = 3x + 147. What is x?
  18. 18.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 6 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 7 and then add 30. The answer is 86. What is my number?
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  23. 23.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 6 and then take away 20. The answer is 16. What is my number?
  25. 25.Sneha has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?
  26. 26.Kavya has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹11 more than a pencil. 2 pens and 3 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 11 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  29. 29.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 2 and then take away 9. The answer is 33. What is my number?
  33. 33.I think of a number, multiply it by 8 and then take away 15. The answer is 217. What is my number?
  34. 34.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 6 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 4 and then add 27. The answer is 51. What is my number?
  37. 37.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 9(x + 3) = 5x + 63. What is x?
  39. 39.I think of a number, multiply it by 5 and then add 14. The answer is 34. What is my number?
  40. 40.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹170 in all. What does one pencil cost (in ₹)?

Answer key

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

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