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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 73 · 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 ₹11 more than a pencil. 4 pens and 3 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  2. 2.7 × ? − 25 = 45
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  4. 4.Kavya has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  6. 6.Aditya has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 2 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  8. 8.I think of a number, multiply it by 8 and then add 20. The answer is 124. What is my number?
  9. 9.3 × ? + 30 = 99
  10. 10.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  11. 11.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹8 more than a pencil. 6 pens and 2 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹5 more than a pencil. 4 pens and 5 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  14. 14.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  15. 15.12 × ? + 15 = 315
  16. 16.The length of a rectangle is 3 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  17. 17.A pen costs ₹13 more than a pencil. 4 pens and 2 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 8(x + 6) = 7x + 66. What is x?
  20. 20.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  22. 22.3 × ? + 5 = 41
  23. 23.10 × ? + 13 = 93
  24. 24.2 × ? − 1 = 35
  25. 25.Solve for x: 9(x + 7) = 4x + 113. What is x?
  26. 26.Solve for x: 8(x + 5) = 3x + 140. What is x?
  27. 27.A pen costs ₹13 more than a pencil. 5 pens and 7 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  28. 28.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  29. 29.Solve for x: 4(x + 2) = x + 11. What is x?
  30. 30.I think of a number, multiply it by 4 and then add 19. The answer is 115. What is my number?
  31. 31.3 × ? + 23 = 41
  32. 32.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹15 more than a pencil. 6 pens and 8 pencils cost ₹370 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  35. 35.Solve for x: 5(x + 7) = 4x + 48. What is x?
  36. 36.Solve for x: 3(x + 5) = x + 23. What is x?
  37. 37.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  38. 38.Saanvi has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 9 and then add 5. The answer is 203. What is my number?
  40. 40.8 × ? − 13 = 99

Answer key

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

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