← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 735 · 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 ₹9 more than a pencil. 5 pens and 2 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  2. 2.3 × ? + 3 = 48
  3. 3.Solve for x: 9(x + 5) = 3x + 147. What is x?
  4. 4.Solve for x: 8(x + 2) = x + 72. What is x?
  5. 5.I think of a number, multiply it by 3 and then add 23. The answer is 113. What is my number?
  6. 6.3 × ? − 1 = 35
  7. 7.5 × ? − 4 = 86
  8. 8.I think of a number, multiply it by 3 and then add 7. The answer is 82. What is my number?
  9. 9.Solve for x: 3(x + 4) = 2x + 20. What is x?
  10. 10.8 × ? + 2 = 98
  11. 11.Solve for x: 9(x + 3) = 5x + 71. What is x?
  12. 12.Solve for x: 7(x + 3) = 3x + 89. What is x?
  13. 13.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  14. 14.10 × ? − 3 = 177
  15. 15.Solve for x: 4(x + 7) = 2x + 32. What is x?
  16. 16.The length of a rectangle is 7 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  17. 17.I think of a number, multiply it by 8 and then add 34. The answer is 98. What is my number?
  18. 18.Saanvi has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  20. 20.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  21. 21.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  22. 22.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  23. 23.Zoya has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  24. 24.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 2) = x + 65. What is x?
  28. 28.6 × ? + 11 = 119
  29. 29.Ishaan has 20 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 7(x + 6) = 6x + 45. What is x?
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  32. 32.9 × ? + 26 = 251
  33. 33.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  35. 35.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 7 and then add 39. The answer is 81. What is my number?
  37. 37.Solve for x: 5(x + 2) = x + 70. What is x?
  38. 38.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  39. 39.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  40. 40.I think of a number, multiply it by 2 and then add 33. The answer is 51. What is my number?

Answer key

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

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