← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 605 · 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 ₹3 more than a pencil. 6 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  2. 2.Solve for x: 8(x + 8) = x + 106. What is x?
  3. 3.Solve for x: 4(x + 1) = x + 13. What is x?
  4. 4.I think of a number, multiply it by 9 and then add 33. The answer is 114. What is my number?
  5. 5.I think of a number, multiply it by 9 and then add 13. The answer is 67. What is my number?
  6. 6.I think of a number, multiply it by 4 and then add 38. The answer is 138. What is my number?
  7. 7.Solve for x: 7(x + 7) = 4x + 79. What is x?
  8. 8.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 12 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  10. 10.Solve for x: 4(x + 6) = x + 60. What is x?
  11. 11.Solve for x: 3(x + 7) = 2x + 31. What is x?
  12. 12.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 9(x + 1) = 3x + 21. What is x?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 3 and then take away 32. The answer is 31. What is my number?
  16. 16.I think of a number, multiply it by 7 and then add 33. The answer is 243. What is my number?
  17. 17.I think of a number, multiply it by 9 and then add 3. The answer is 57. What is my number?
  18. 18.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  20. 20.Solve for x: 7(x + 9) = 6x + 74. What is x?
  21. 21.I think of a number, multiply it by 8 and then take away 24. The answer is 168. What is my number?
  22. 22.6 × ? − 18 = 132
  23. 23.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 3 and then take away 20. The answer is 28. What is my number?
  25. 25.2 × ? − 25 = 11
  26. 26.I think of a number, multiply it by 5 and then take away 3. The answer is 32. What is my number?
  27. 27.The length of a rectangle is 9 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  28. 28.Nisha has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  29. 29.Manav has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  31. 31.Solve for x: 4(x + 2) = x + 59. What is x?
  32. 32.A pen costs ₹6 more than a pencil. 4 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  34. 34.5 × ? − 4 = 16
  35. 35.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  36. 36.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 6 and then add 8. The answer is 80. What is my number?
  38. 38.I think of a number, multiply it by 3 and then add 20. The answer is 74. What is my number?
  39. 39.Solve for x: 6(x + 7) = x + 77. What is x?
  40. 40.I think of a number, multiply it by 2 and then take away 15. The answer is 19. What is my number?

Answer key

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

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude