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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 777 · 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.Solve for x: 5(x + 4) = 4x + 30. What is x?
  2. 2.A pen costs ₹12 more than a pencil. 3 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  3. 3.Karan has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  4. 4.Solve for x: 4(x + 7) = 2x + 56. What is x?
  5. 5.Solve for x: 5(x + 9) = 4x + 63. What is x?
  6. 6.Kabir has 28 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  7. 7.11 × ? − 2 = 119
  8. 8.I think of a number, multiply it by 6 and then add 26. The answer is 146. What is my number?
  9. 9.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  10. 10.12 × ? − 5 = 247
  11. 11.The length of a rectangle is 10 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  12. 12.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  13. 13.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹93 in all. How many ₹5 coins are there?
  14. 14.Kavya has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  15. 15.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 8) = 2x + 156. What is x?
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  18. 18.A pen costs ₹6 more than a pencil. 3 pens and 2 pencils cost ₹118 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 2 and then take away 15. The answer is 9. What is my number?
  21. 21.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 7(x + 2) = 6x + 20. What is x?
  23. 23.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  24. 24.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 3(x + 6) = 2x + 36. What is x?
  26. 26.I think of a number, multiply it by 8 and then add 17. The answer is 169. What is my number?
  27. 27.Solve for x: 6(x + 9) = 3x + 102. What is x?
  28. 28.I think of a number, multiply it by 4 and then take away 20. The answer is 88. What is my number?
  29. 29.I think of a number, multiply it by 5 and then take away 4. The answer is 111. What is my number?
  30. 30.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 4 and then take away 11. The answer is 57. What is my number?
  32. 32.2 × ? + 26 = 30
  33. 33.I think of a number, multiply it by 2 and then add 33. The answer is 43. What is my number?
  34. 34.7 × ? − 2 = 117
  35. 35.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹199 in all. What does one pencil cost (in ₹)?
  36. 36.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  38. 38.7 × ? − 23 = 103
  39. 39.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  40. 40.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?

Answer key

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

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