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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 107 · 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.Solve for x: 6(x + 6) = 3x + 60. What is x?
  2. 2.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 7(x + 3) = 2x + 101. What is x?
  4. 4.I think of a number, multiply it by 6 and then take away 8. The answer is 46. What is my number?
  5. 5.Solve for x: 6(x + 9) = 3x + 114. What is x?
  6. 6.8 × ? + 9 = 65
  7. 7.7 × ? − 13 = 85
  8. 8.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  10. 10.6 × ? − 11 = 61
  11. 11.2 × ? − 22 = 4
  12. 12.6 × ? + 3 = 99
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  15. 15.Diya has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  16. 16.6 × ? − 6 = 18
  17. 17.A pen costs ₹7 more than a pencil. 5 pens and 2 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  18. 18.Isha has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  19. 19.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  20. 20.Kavya has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 9 and then add 1. The answer is 82. What is my number?
  22. 22.I think of a number, multiply it by 6 and then add 12. The answer is 24. What is my number?
  23. 23.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  24. 24.10 × ? + 5 = 75
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  26. 26.5 × ? − 25 = 60
  27. 27.Tara has 26 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 7 and then take away 10. The answer is 123. What is my number?
  29. 29.I think of a number, multiply it by 7 and then add 34. The answer is 83. What is my number?
  30. 30.A pen costs ₹14 more than a pencil. 3 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  31. 31.Meera has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 7 and then take away 29. The answer is 132. What is my number?
  34. 34.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 3) = 5x + 20. What is x?
  36. 36.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 5(x + 5) = 4x + 43. What is x?
  38. 38.8 × ? − 9 = 79
  39. 39.A pen costs ₹12 more than a pencil. 6 pens and 3 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  40. 40.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?

Answer key

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

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