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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 634 · 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 ₹10 more than a pencil. 5 pens and 8 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  2. 2.Zoya has 22 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 6 and then take away 26. The answer is 10. What is my number?
  5. 5.Nisha has 20 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 5 and then add 3. The answer is 63. What is my number?
  7. 7.I think of a number, multiply it by 7 and then take away 40. The answer is 100. What is my number?
  8. 8.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  10. 10.Farhan has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  11. 11.11 × ? − 10 = 89
  12. 12.A pen costs ₹6 more than a pencil. 6 pens and 6 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  13. 13.8 × ? + 15 = 47
  14. 14.4 × ? + 30 = 82
  15. 15.Priya has 25 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  16. 16.8 × ? + 26 = 58
  17. 17.Solve for x: 6(x + 5) = x + 70. What is x?
  18. 18.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  19. 19.7 × ? + 1 = 50
  20. 20.Farhan has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  21. 21.10 × ? − 18 = 212
  22. 22.I think of a number, multiply it by 5 and then add 12. The answer is 47. What is my number?
  23. 23.Priya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  24. 24.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  26. 26.Solve for x: 4(x + 6) = 2x + 56. What is x?
  27. 27.The length of a rectangle is 12 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 9 and then add 4. The answer is 157. What is my number?
  29. 29.Solve for x: 7(x + 3) = 2x + 121. What is x?
  30. 30.2 × ? − 1 = 39
  31. 31.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 12 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  34. 34.Saanvi has 28 coins, all ₹5 and ₹2 coins, worth ₹131 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 8 and then add 23. The answer is 247. What is my number?
  36. 36.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  37. 37.4 × ? + 14 = 54
  38. 38.Solve for x: 6(x + 2) = 5x + 24. What is x?
  39. 39.I think of a number, multiply it by 4 and then take away 25. The answer is 39. What is my number?
  40. 40.7 × ? + 11 = 130

Answer key

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

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