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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 38 · 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 8 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 6 and then add 21. The answer is 177. What is my number?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  5. 5.Solve for x: 4(x + 2) = 2x + 44. What is x?
  6. 6.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 2 and then take away 5. The answer is 45. What is my number?
  8. 8.11 × ? + 5 = 27
  9. 9.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  10. 10.Diya has 20 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹8 more than a pencil. 5 pens and 7 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 8 and then take away 8. The answer is 64. What is my number?
  13. 13.12 × ? − 5 = 43
  14. 14.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  15. 15.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 2 and then take away 22. The answer is 6. What is my number?
  17. 17.I think of a number, multiply it by 3 and then add 2. The answer is 14. What is my number?
  18. 18.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 3 and then add 16. The answer is 28. What is my number?
  20. 20.The length of a rectangle is 7 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  21. 21.10 × ? + 27 = 77
  22. 22.Solve for x: 4(x + 5) = x + 53. What is x?
  23. 23.I think of a number, multiply it by 7 and then add 14. The answer is 49. What is my number?
  24. 24.9 × ? + 16 = 232
  25. 25.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹42 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 6 and then take away 30. The answer is 84. What is my number?
  27. 27.Aarav has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  28. 28.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 3 and then add 27. The answer is 96. What is my number?
  30. 30.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 9 and then add 37. The answer is 298. What is my number?
  32. 32.4 × ? + 9 = 45
  33. 33.I think of a number, multiply it by 7 and then add 3. The answer is 108. What is my number?
  34. 34.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  36. 36.I think of a number, multiply it by 6 and then take away 24. The answer is 120. What is my number?
  37. 37.I think of a number, multiply it by 7 and then take away 4. The answer is 150. What is my number?
  38. 38.I think of a number, multiply it by 3 and then add 6. The answer is 33. What is my number?
  39. 39.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 3(x + 8) = 2x + 40. What is x?

Answer key

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

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