← Word problems with equations lesson New set →

Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 360 · 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.Tara has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  2. 2.3 × ? + 30 = 36
  3. 3.I think of a number, multiply it by 4 and then take away 22. The answer is 58. What is my number?
  4. 4.I think of a number, multiply it by 6 and then add 27. The answer is 45. What is my number?
  5. 5.Solve for x: 4(x + 3) = x + 45. What is x?
  6. 6.Solve for x: 7(x + 8) = x + 80. What is x?
  7. 7.9 × ? − 7 = 146
  8. 8.The length of a rectangle is 10 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 7 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 7(x + 4) = 3x + 80. What is x?
  11. 11.I think of a number, multiply it by 7 and then add 16. The answer is 114. What is my number?
  12. 12.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  15. 15.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 2 and then take away 25. The answer is 15. What is my number?
  17. 17.I think of a number, multiply it by 7 and then add 4. The answer is 144. What is my number?
  18. 18.9 × ? + 16 = 205
  19. 19.I think of a number, multiply it by 5 and then add 10. The answer is 135. What is my number?
  20. 20.Solve for x: 7(x + 1) = 4x + 34. What is x?
  21. 21.Pooja has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  22. 22.4 × ? + 20 = 116
  23. 23.I think of a number, multiply it by 5 and then add 20. The answer is 135. What is my number?
  24. 24.Solve for x: 8(x + 2) = x + 37. What is x?
  25. 25.I think of a number, multiply it by 8 and then take away 14. The answer is 138. What is my number?
  26. 26.I think of a number, multiply it by 9 and then take away 4. The answer is 59. What is my number?
  27. 27.I think of a number, multiply it by 8 and then add 5. The answer is 117. What is my number?
  28. 28.10 × ? − 23 = 137
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  30. 30.7 × ? − 5 = 100
  31. 31.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  32. 32.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹71 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹2 more than a pencil. 6 pens and 6 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 9 and then take away 29. The answer is 160. What is my number?
  35. 35.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 3(x + 1) = 2x + 23. What is x?
  37. 37.9 × ? − 4 = 41
  38. 38.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹8 more than a pencil. 6 pens and 5 pencils cost ₹257 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 7 and then add 8. The answer is 155. What is my number?

Answer key

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

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