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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 977 · 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 ₹10 more than a pencil. 3 pens and 5 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  2. 2.Saanvi has 24 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 6 and then take away 36. The answer is 96. What is my number?
  4. 4.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 6 and then add 18. The answer is 96. What is my number?
  7. 7.6 × ? + 19 = 109
  8. 8.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 3 and then add 36. The answer is 51. What is my number?
  10. 10.The length of a rectangle is 14 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 7 and then take away 8. The answer is 153. What is my number?
  12. 12.I think of a number, multiply it by 3 and then take away 14. The answer is 4. What is my number?
  13. 13.12 × ? + 11 = 167
  14. 14.Solve for x: 7(x + 8) = x + 176. What is x?
  15. 15.Solve for x: 7(x + 9) = 2x + 163. What is x?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  17. 17.A pen costs ₹7 more than a pencil. 4 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  19. 19.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then take away 9. The answer is 40. What is my number?
  22. 22.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  23. 23.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 7 and then take away 32. The answer is 122. What is my number?
  25. 25.12 × ? − 28 = 92
  26. 26.10 × ? − 19 = 31
  27. 27.Solve for x: 8(x + 4) = x + 144. What is x?
  28. 28.A pen costs ₹10 more than a pencil. 2 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 7(x + 6) = 6x + 56. What is x?
  30. 30.I think of a number, multiply it by 2 and then add 6. The answer is 10. What is my number?
  31. 31.12 × ? − 8 = 292
  32. 32.I think of a number, multiply it by 3 and then take away 20. The answer is 40. What is my number?
  33. 33.Isha has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 7 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 6) = 5x + 74. What is x?
  37. 37.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  38. 38.3 × ? + 12 = 21
  39. 39.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹240 in all. What does one pencil cost (in ₹)?

Answer key

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

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