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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 701 · 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.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 4(x + 4) = 3x + 17. What is x?
  4. 4.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 9 and then take away 38. The answer is 52. What is my number?
  6. 6.The length of a rectangle is 9 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  7. 7.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹202 in all. What does one pencil cost (in ₹)?
  8. 8.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  10. 10.I think of a number, multiply it by 2 and then take away 9. The answer is 31. What is my number?
  11. 11.11 × ? + 21 = 109
  12. 12.I think of a number, multiply it by 8 and then take away 19. The answer is 21. What is my number?
  13. 13.I think of a number, multiply it by 8 and then take away 22. The answer is 138. What is my number?
  14. 14.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  15. 15.The length of a rectangle is 8 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  16. 16.Solve for x: 7(x + 7) = 5x + 87. What is x?
  17. 17.I think of a number, multiply it by 2 and then add 37. The answer is 63. What is my number?
  18. 18.I think of a number, multiply it by 8 and then add 12. The answer is 172. What is my number?
  19. 19.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  20. 20.6 × ? − 2 = 130
  21. 21.Solve for x: 8(x + 5) = x + 89. What is x?
  22. 22.I think of a number, multiply it by 9 and then add 21. The answer is 102. What is my number?
  23. 23.I think of a number, multiply it by 9 and then add 40. The answer is 166. What is my number?
  24. 24.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 3 and then take away 6. The answer is 3. What is my number?
  27. 27.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 5 and then take away 2. The answer is 63. What is my number?
  29. 29.I think of a number, multiply it by 2 and then add 5. The answer is 13. What is my number?
  30. 30.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  31. 31.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  32. 32.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹14 more than a pencil. 6 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 6 and then take away 34. The answer is 56. What is my number?
  35. 35.Solve for x: 9(x + 1) = 4x + 49. What is x?
  36. 36.Solve for x: 7(x + 1) = 3x + 83. What is x?
  37. 37.I think of a number, multiply it by 3 and then add 34. The answer is 118. What is my number?
  38. 38.Solve for x: 3(x + 3) = 2x + 11. What is x?
  39. 39.Ishaan has 22 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹188 in all. What does one pencil cost (in ₹)?

Answer key

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

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