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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 248 · 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.I think of a number, multiply it by 6 and then take away 7. The answer is 101. What is my number?
  2. 2.4 × ? − 24 = 8
  3. 3.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  4. 4.2 × ? − 7 = 17
  5. 5.Saanvi has 17 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  6. 6.Arjun has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  7. 7.Solve for x: 5(x + 4) = 2x + 74. What is x?
  8. 8.I think of a number, multiply it by 5 and then take away 16. The answer is 94. What is my number?
  9. 9.Solve for x: 7(x + 5) = 6x + 39. What is x?
  10. 10.I think of a number, multiply it by 3 and then add 23. The answer is 83. What is my number?
  11. 11.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 6 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 8 and then take away 33. The answer is 31. What is my number?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  15. 15.Solve for x: 4(x + 4) = 2x + 26. What is x?
  16. 16.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 9 and then add 36. The answer is 180. What is my number?
  18. 18.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  19. 19.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 2 and then add 12. The answer is 50. What is my number?
  21. 21.A pen costs ₹13 more than a pencil. 2 pens and 5 pencils cost ₹131 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 8(x + 2) = 5x + 67. What is x?
  23. 23.I think of a number, multiply it by 6 and then add 36. The answer is 162. What is my number?
  24. 24.4 × ? − 4 = 12
  25. 25.A pen costs ₹3 more than a pencil. 5 pens and 5 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 5 and then add 21. The answer is 141. What is my number?
  27. 27.I think of a number, multiply it by 9 and then take away 5. The answer is 265. What is my number?
  28. 28.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹12 more than a pencil. 5 pens and 5 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  30. 30.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  31. 31.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹10 more than a pencil. 6 pens and 7 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  34. 34.12 × ? − 18 = 102
  35. 35.Sneha has 21 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 11 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  38. 38.Solve for x: 6(x + 6) = x + 46. What is x?
  39. 39.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 4 and then take away 19. The answer is 49. What is my number?

Answer key

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

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