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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 665 · 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 ₹15 more than a pencil. 6 pens and 8 pencils cost ₹314 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 9(x + 4) = 8x + 53. What is x?
  3. 3.Solve for x: 4(x + 6) = 2x + 36. What is x?
  4. 4.10 × ? + 19 = 49
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 7 and then add 31. The answer is 73. What is my number?
  7. 7.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹107 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 6 and then add 9. The answer is 93. What is my number?
  10. 10.I think of a number, multiply it by 5 and then take away 4. The answer is 126. What is my number?
  11. 11.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 8(x + 1) = 4x + 76. What is x?
  13. 13.7 × ? − 7 = 49
  14. 14.Vivaan has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  15. 15.6 × ? + 10 = 64
  16. 16.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 7 and then take away 19. The answer is 107. What is my number?
  18. 18.I think of a number, multiply it by 5 and then add 16. The answer is 66. What is my number?
  19. 19.I think of a number, multiply it by 2 and then take away 10. The answer is 46. What is my number?
  20. 20.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 7(x + 4) = x + 112. What is x?
  22. 22.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  24. 24.10 × ? + 9 = 59
  25. 25.Solve for x: 6(x + 2) = 4x + 44. What is x?
  26. 26.Solve for x: 6(x + 6) = 5x + 53. What is x?
  27. 27.Solve for x: 8(x + 6) = 2x + 72. What is x?
  28. 28.I think of a number, multiply it by 5 and then take away 16. The answer is 44. What is my number?
  29. 29.Solve for x: 9(x + 9) = x + 121. What is x?
  30. 30.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  31. 31.Manav has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  32. 32.5 × ? + 10 = 60
  33. 33.I think of a number, multiply it by 2 and then take away 32. The answer is 10. What is my number?
  34. 34.I think of a number, multiply it by 8 and then add 37. The answer is 173. What is my number?
  35. 35.I think of a number, multiply it by 8 and then take away 25. The answer is 143. What is my number?
  36. 36.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  37. 37.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  38. 38.A pen costs ₹6 more than a pencil. 6 pens and 4 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  39. 39.Solve for x: 8(x + 2) = 3x + 26. What is x?
  40. 40.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?

Answer key

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

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