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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 851 · 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 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  2. 2.Diya has 8 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  4. 4.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  5. 5.10 × ? + 16 = 36
  6. 6.11 × ? − 27 = 248
  7. 7.6 × ? − 5 = 19
  8. 8.A pen costs ₹9 more than a pencil. 4 pens and 8 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  10. 10.The length of a rectangle is 3 m more than its breadth. Its perimeter is 26 m. What is its breadth (in m)?
  11. 11.Solve for x: 4(x + 5) = x + 62. What is x?
  12. 12.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 2 and then take away 16. The answer is 26. What is my number?
  14. 14.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  16. 16.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹146 in all. What does one pencil cost (in ₹)?
  17. 17.Arjun has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 8 and then add 22. The answer is 86. What is my number?
  20. 20.Solve for x: 4(x + 3) = 3x + 19. What is x?
  21. 21.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  22. 22.7 × ? − 20 = 78
  23. 23.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 6(x + 9) = 5x + 72. What is x?
  25. 25.A pen costs ₹15 more than a pencil. 4 pens and 2 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 4 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  27. 27.2 × ? + 12 = 22
  28. 28.9 × ? + 24 = 168
  29. 29.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  30. 30.I think of a number, multiply it by 7 and then take away 31. The answer is 109. What is my number?
  31. 31.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 4(x + 7) = x + 46. What is x?
  33. 33.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  34. 34.9 × ? + 11 = 38
  35. 35.I think of a number, multiply it by 6 and then add 15. The answer is 57. What is my number?
  36. 36.Solve for x: 5(x + 8) = 3x + 56. What is x?
  37. 37.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 2 and then add 35. The answer is 69. What is my number?
  39. 39.I think of a number, multiply it by 9 and then add 36. The answer is 243. What is my number?
  40. 40.Solve for x: 3(x + 7) = 2x + 38. What is x?

Answer key

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

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