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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 869 · 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 ₹8 more than a pencil. 3 pens and 2 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 2 and then add 30. The answer is 54. What is my number?
  3. 3.A pen costs ₹7 more than a pencil. 6 pens and 2 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  4. 4.Arjun has 16 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 9 and then add 6. The answer is 168. What is my number?
  7. 7.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  8. 8.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 15 m more than its breadth. Its perimeter is 134 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 2 and then add 17. The answer is 51. What is my number?
  11. 11.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹189 in all. What does one pencil cost (in ₹)?
  12. 12.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  13. 13.Arjun has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  14. 14.A pen costs ₹3 more than a pencil. 5 pens and 6 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 9 and then take away 15. The answer is 21. What is my number?
  16. 16.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  17. 17.8 × ? − 23 = 145
  18. 18.I think of a number, multiply it by 3 and then add 31. The answer is 94. What is my number?
  19. 19.I think of a number, multiply it by 2 and then take away 7. The answer is 11. What is my number?
  20. 20.4 × ? − 4 = 84
  21. 21.5 × ? + 7 = 32
  22. 22.A pen costs ₹11 more than a pencil. 6 pens and 8 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  23. 23.9 × ? − 12 = 204
  24. 24.A pen costs ₹5 more than a pencil. 5 pens and 6 pencils cost ₹91 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 76 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 6 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  27. 27.Solve for x: 4(x + 4) = x + 76. What is x?
  28. 28.Solve for x: 8(x + 3) = 5x + 78. What is x?
  29. 29.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  31. 31.Solve for x: 3(x + 8) = x + 58. What is x?
  32. 32.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  33. 33.5 × ? + 11 = 111
  34. 34.I think of a number, multiply it by 3 and then take away 34. The answer is 17. What is my number?
  35. 35.I think of a number, multiply it by 6 and then take away 9. The answer is 69. What is my number?
  36. 36.2 × ? + 6 = 56
  37. 37.Solve for x: 5(x + 7) = x + 99. What is x?
  38. 38.Solve for x: 9(x + 6) = 2x + 159. What is x?
  39. 39.Farhan has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  40. 40.Ananya has 10 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?

Answer key

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

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