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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 586 · 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 ₹14 more than a pencil. 5 pens and 7 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  2. 2.Aarav has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  4. 4.A pen costs ₹6 more than a pencil. 6 pens and 7 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 8 and then add 35. The answer is 147. What is my number?
  6. 6.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 5 and then add 37. The answer is 67. What is my number?
  8. 8.10 × ? + 5 = 215
  9. 9.Priya has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 4(x + 6) = x + 27. What is x?
  11. 11.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  12. 12.Nisha has 17 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  14. 14.3 × ? + 21 = 66
  15. 15.Solve for x: 4(x + 9) = 2x + 64. What is x?
  16. 16.Solve for x: 8(x + 9) = 3x + 97. What is x?
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  18. 18.8 × ? + 19 = 131
  19. 19.The length of a rectangle is 11 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  20. 20.Solve for x: 6(x + 6) = 5x + 55. What is x?
  21. 21.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 5 and then take away 9. The answer is 96. What is my number?
  23. 23.4 × ? − 5 = 67
  24. 24.A pen costs ₹9 more than a pencil. 6 pens and 3 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 4 and then take away 18. The answer is 98. What is my number?
  28. 28.I think of a number, multiply it by 7 and then add 16. The answer is 100. What is my number?
  29. 29.Solve for x: 3(x + 9) = x + 39. What is x?
  30. 30.Solve for x: 7(x + 1) = 5x + 21. What is x?
  31. 31.I think of a number, multiply it by 2 and then take away 30. The answer is 2. What is my number?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  33. 33.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  35. 35.Solve for x: 6(x + 3) = 5x + 22. What is x?
  36. 36.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  37. 37.3 × ? − 12 = 6
  38. 38.Arjun has 20 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  39. 39.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  40. 40.A pen costs ₹6 more than a pencil. 6 pens and 5 pencils cost ₹245 in all. What does one pencil cost (in ₹)?

Answer key

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

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