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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 511 · 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.Aarav has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 4(x + 1) = 2x + 6. What is x?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  4. 4.A pen costs ₹4 more than a pencil. 2 pens and 8 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  6. 6.The length of a rectangle is 15 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  8. 8.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 4(x + 8) = 3x + 45. What is x?
  10. 10.I think of a number, multiply it by 5 and then add 36. The answer is 56. What is my number?
  11. 11.Solve for x: 7(x + 2) = 4x + 71. What is x?
  12. 12.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹128 in all. How many ₹5 coins are there?
  13. 13.5 × ? + 30 = 155
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  15. 15.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 8(x + 5) = x + 138. What is x?
  17. 17.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  18. 18.4 × ? − 13 = 15
  19. 19.Solve for x: 4(x + 9) = 3x + 41. What is x?
  20. 20.Solve for x: 5(x + 7) = 2x + 56. What is x?
  21. 21.The length of a rectangle is 8 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  22. 22.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 6 and then take away 8. The answer is 58. What is my number?
  24. 24.I think of a number, multiply it by 9 and then add 5. The answer is 50. What is my number?
  25. 25.I think of a number, multiply it by 4 and then add 24. The answer is 56. What is my number?
  26. 26.10 × ? + 11 = 241
  27. 27.Solve for x: 4(x + 6) = x + 69. What is x?
  28. 28.7 × ? − 10 = 158
  29. 29.Solve for x: 9(x + 8) = 5x + 100. What is x?
  30. 30.4 × ? + 9 = 77
  31. 31.I think of a number, multiply it by 2 and then take away 12. The answer is 20. What is my number?
  32. 32.Solve for x: 7(x + 7) = 2x + 119. What is x?
  33. 33.I think of a number, multiply it by 3 and then add 27. The answer is 69. What is my number?
  34. 34.Solve for x: 6(x + 1) = x + 96. What is x?
  35. 35.I think of a number, multiply it by 7 and then add 32. The answer is 151. What is my number?
  36. 36.Aditya has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  37. 37.6 × ? − 18 = 24
  38. 38.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  39. 39.3 × ? − 28 = 2
  40. 40.9 × ? − 8 = 10

Answer key

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

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