← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 901 · 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. 1.4 × ? + 14 = 82
  2. 2.A pen costs ₹13 more than a pencil. 4 pens and 8 pencils cost ₹256 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 5(x + 5) = 4x + 36. What is x?
  5. 5.I think of a number, multiply it by 4 and then add 7. The answer is 111. What is my number?
  6. 6.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  7. 7.3 × ? + 23 = 41
  8. 8.9 × ? + 26 = 98
  9. 9.I think of a number, multiply it by 4 and then take away 7. The answer is 25. What is my number?
  10. 10.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  11. 11.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹20 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 2 and then take away 14. The answer is 46. What is my number?
  13. 13.Solve for x: 6(x + 3) = 5x + 26. What is x?
  14. 14.Solve for x: 5(x + 3) = 3x + 43. What is x?
  15. 15.I think of a number, multiply it by 8 and then add 24. The answer is 88. What is my number?
  16. 16.A pen costs ₹13 more than a pencil. 2 pens and 8 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  17. 17.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  18. 18.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  19. 19.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 2 and then add 2. The answer is 58. What is my number?
  21. 21.11 × ? − 8 = 124
  22. 22.I think of a number, multiply it by 8 and then take away 33. The answer is 175. What is my number?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  24. 24.9 × ? − 13 = 50
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  26. 26.A pen costs ₹6 more than a pencil. 6 pens and 2 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  28. 28.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  29. 29.4 × ? + 18 = 86
  30. 30.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 4(x + 3) = 2x + 38. What is x?
  32. 32.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  33. 33.A pen costs ₹6 more than a pencil. 2 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  34. 34.11 × ? − 4 = 18
  35. 35.I think of a number, multiply it by 2 and then take away 22. The answer is 20. What is my number?
  36. 36.Solve for x: 3(x + 5) = x + 39. What is x?
  37. 37.Solve for x: 8(x + 1) = 5x + 26. What is x?
  38. 38.Solve for x: 8(x + 9) = 4x + 132. What is x?
  39. 39.Rohan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  40. 40.4 × ? + 1 = 53

Answer key

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

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