← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 662 · 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.I think of a number, multiply it by 6 and then add 7. The answer is 73. What is my number?
  2. 2.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  5. 5.Solve for x: 7(x + 4) = 2x + 118. What is x?
  6. 6.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 7 and then add 29. The answer is 211. What is my number?
  8. 8.Solve for x: 7(x + 5) = 3x + 103. What is x?
  9. 9.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  10. 10.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  11. 11.Manav has 28 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 3 and then add 29. The answer is 74. What is my number?
  13. 13.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  14. 14.2 × ? + 22 = 28
  15. 15.I think of a number, multiply it by 5 and then add 17. The answer is 72. What is my number?
  16. 16.I think of a number, multiply it by 9 and then add 6. The answer is 204. What is my number?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  18. 18.Solve for x: 3(x + 7) = x + 37. What is x?
  19. 19.10 × ? − 20 = 190
  20. 20.12 × ? + 29 = 245
  21. 21.Solve for x: 9(x + 7) = 8x + 81. What is x?
  22. 22.10 × ? − 20 = 130
  23. 23.9 × ? − 7 = 128
  24. 24.12 × ? + 9 = 309
  25. 25.A pen costs ₹4 more than a pencil. 6 pens and 4 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 7(x + 6) = 6x + 46. What is x?
  27. 27.2 × ? + 23 = 33
  28. 28.Sneha has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  29. 29.The length of a rectangle is 4 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  30. 30.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹64 in all. What does one pencil cost (in ₹)?
  31. 31.I think of a number, multiply it by 4 and then take away 14. The answer is 10. What is my number?
  32. 32.10 × ? + 16 = 266
  33. 33.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  34. 34.10 × ? + 24 = 124
  35. 35.11 × ? − 1 = 76
  36. 36.Rohan has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  37. 37.Arjun has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 1) = 2x + 8. What is x?
  39. 39.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  40. 40.Farhan has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?

Answer key

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

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