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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 138 · 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 ₹6 more than a pencil. 2 pens and 7 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  2. 2.2 × ? + 29 = 67
  3. 3.Solve for x: 6(x + 8) = 3x + 81. What is x?
  4. 4.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 3 and then add 28. The answer is 97. What is my number?
  7. 7.I think of a number, multiply it by 6 and then take away 36. The answer is 72. What is my number?
  8. 8.8 × ? − 12 = 100
  9. 9.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  10. 10.5 × ? + 30 = 120
  11. 11.9 × ? + 21 = 174
  12. 12.A pen costs ₹6 more than a pencil. 3 pens and 6 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹15 more than a pencil. 6 pens and 4 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 14 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 6 and then add 14. The answer is 62. What is my number?
  16. 16.I think of a number, multiply it by 3 and then add 11. The answer is 74. What is my number?
  17. 17.The length of a rectangle is 10 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  18. 18.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  20. 20.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  21. 21.10 × ? + 18 = 88
  22. 22.I think of a number, multiply it by 2 and then take away 15. The answer is 33. What is my number?
  23. 23.I think of a number, multiply it by 4 and then take away 22. The answer is 78. What is my number?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  25. 25.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹11 more than a pencil. 6 pens and 5 pencils cost ₹286 in all. What does one pencil cost (in ₹)?
  27. 27.Saanvi has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹5 more than a pencil. 3 pens and 7 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  31. 31.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 4(x + 9) = x + 75. What is x?
  33. 33.7 × ? − 4 = 94
  34. 34.I think of a number, multiply it by 7 and then take away 13. The answer is 99. What is my number?
  35. 35.I think of a number, multiply it by 7 and then add 25. The answer is 81. What is my number?
  36. 36.Solve for x: 4(x + 8) = x + 74. What is x?
  37. 37.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  38. 38.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  39. 39.4 × ? − 11 = 77
  40. 40.I think of a number, multiply it by 4 and then add 6. The answer is 98. What is my number?

Answer key

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

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