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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 216 · 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 ₹5 more than a pencil. 2 pens and 5 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹10 more than a pencil. 5 pens and 6 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹11 more than a pencil. 4 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  5. 5.A pen costs ₹3 more than a pencil. 4 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 6 and then add 36. The answer is 198. What is my number?
  7. 7.12 × ? + 23 = 71
  8. 8.The length of a rectangle is 8 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  9. 9.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  11. 11.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  12. 12.Zoya has 21 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹3 more than a pencil. 2 pens and 7 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹254 in all. What does one pencil cost (in ₹)?
  15. 15.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹12 more than a pencil. 6 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 9 and then take away 7. The answer is 74. What is my number?
  18. 18.I think of a number, multiply it by 2 and then add 13. The answer is 61. What is my number?
  19. 19.A pen costs ₹7 more than a pencil. 6 pens and 7 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 9 and then take away 16. The answer is 200. What is my number?
  21. 21.11 × ? − 10 = 243
  22. 22.I think of a number, multiply it by 9 and then add 29. The answer is 83. What is my number?
  23. 23.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  24. 24.Arjun has 18 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  25. 25.Solve for x: 9(x + 6) = x + 102. What is x?
  26. 26.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  27. 27.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  28. 28.11 × ? + 17 = 204
  29. 29.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  30. 30.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  31. 31.6 × ? + 1 = 73
  32. 32.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹246 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 6 and then take away 29. The answer is 145. What is my number?
  35. 35.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 5 and then take away 2. The answer is 53. What is my number?
  37. 37.I think of a number, multiply it by 3 and then take away 30. The answer is 48. What is my number?
  38. 38.7 × ? − 23 = 33
  39. 39.I think of a number, multiply it by 2 and then take away 18. The answer is 28. What is my number?
  40. 40.I think of a number, multiply it by 6 and then add 8. The answer is 134. What is my number?

Answer key

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

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