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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 994 · 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.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 6(x + 2) = 3x + 63. What is x?
  3. 3.7 × ? − 28 = 56
  4. 4.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  6. 6.4 × ? − 5 = 27
  7. 7.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  11. 11.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  12. 12.A pen costs ₹8 more than a pencil. 2 pens and 7 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 5 and then take away 23. The answer is 12. What is my number?
  14. 14.Solve for x: 4(x + 6) = x + 60. What is x?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 11 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  18. 18.4 × ? + 28 = 44
  19. 19.7 × ? − 7 = 84
  20. 20.10 × ? + 18 = 198
  21. 21.A pen costs ₹12 more than a pencil. 3 pens and 4 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  22. 22.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  23. 23.7 × ? − 27 = 127
  24. 24.I think of a number, multiply it by 6 and then take away 20. The answer is 22. What is my number?
  25. 25.The length of a rectangle is 9 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  26. 26.Solve for x: 4(x + 2) = x + 20. What is x?
  27. 27.Aarav has 28 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  28. 28.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹10 more than a pencil. 2 pens and 3 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 15 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  31. 31.7 × ? − 7 = 28
  32. 32.6 × ? − 15 = 57
  33. 33.I think of a number, multiply it by 8 and then take away 10. The answer is 6. What is my number?
  34. 34.Solve for x: 7(x + 6) = 6x + 52. What is x?
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  36. 36.Solve for x: 6(x + 8) = 5x + 60. What is x?
  37. 37.A pen costs ₹6 more than a pencil. 4 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  38. 38.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  39. 39.2 × ? − 15 = 31
  40. 40.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?

Answer key

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

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