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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 167 · 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.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  2. 2.12 × ? + 9 = 249
  3. 3.Farhan has 17 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  4. 4.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  6. 6.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  8. 8.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 8(x + 5) = x + 124. What is x?
  10. 10.I think of a number, multiply it by 2 and then add 8. The answer is 22. What is my number?
  11. 11.8 × ? + 27 = 107
  12. 12.I think of a number, multiply it by 4 and then add 8. The answer is 36. What is my number?
  13. 13.Solve for x: 3(x + 4) = x + 44. What is x?
  14. 14.11 × ? + 12 = 78
  15. 15.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 8 and then add 32. The answer is 176. What is my number?
  17. 17.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 9 and then add 1. The answer is 181. What is my number?
  19. 19.12 × ? − 27 = 261
  20. 20.12 × ? − 4 = 68
  21. 21.Tara has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  22. 22.Nisha has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 6 and then take away 4. The answer is 8. What is my number?
  24. 24.A pen costs ₹4 more than a pencil. 3 pens and 4 pencils cost ₹61 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  26. 26.Solve for x: 5(x + 4) = 4x + 24. What is x?
  27. 27.A pen costs ₹13 more than a pencil. 5 pens and 4 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  29. 29.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹2 more than a pencil. 4 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 4(x + 6) = 3x + 29. What is x?
  32. 32.Solve for x: 9(x + 9) = 4x + 181. What is x?
  33. 33.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  34. 34.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹15 more than a pencil. 6 pens and 6 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 84 m. What is its breadth (in m)?
  38. 38.Solve for x: 6(x + 3) = 3x + 27. What is x?
  39. 39.A pen costs ₹15 more than a pencil. 3 pens and 2 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  40. 40.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?

Answer key

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

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