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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 226 · 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.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  2. 2.3 × ? + 22 = 85
  3. 3.I think of a number, multiply it by 9 and then add 20. The answer is 119. What is my number?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  5. 5.12 × ? − 17 = 187
  6. 6.8 × ? − 22 = 42
  7. 7.7 × ? − 22 = 62
  8. 8.8 × ? − 3 = 45
  9. 9.Solve for x: 4(x + 5) = 2x + 32. What is x?
  10. 10.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  11. 11.Manav has 28 coins, all ₹5 and ₹2 coins, worth ₹128 in all. How many ₹5 coins are there?
  12. 12.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 6 and then add 23. The answer is 77. What is my number?
  17. 17.Solve for x: 6(x + 1) = 2x + 10. What is x?
  18. 18.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  19. 19.A pen costs ₹15 more than a pencil. 6 pens and 3 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  20. 20.5 × ? + 5 = 20
  21. 21.I think of a number, multiply it by 6 and then take away 31. The answer is 47. What is my number?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  23. 23.Solve for x: 4(x + 8) = 3x + 35. What is x?
  24. 24.A pen costs ₹13 more than a pencil. 4 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 7(x + 1) = 4x + 25. What is x?
  26. 26.6 × ? − 17 = 19
  27. 27.9 × ? − 25 = 20
  28. 28.I think of a number, multiply it by 5 and then add 22. The answer is 77. What is my number?
  29. 29.Solve for x: 6(x + 3) = 3x + 45. What is x?
  30. 30.Ishaan has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  32. 32.2 × ? + 7 = 17
  33. 33.I think of a number, multiply it by 8 and then add 11. The answer is 43. What is my number?
  34. 34.Rohan has 12 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 6 and then take away 18. The answer is 66. What is my number?
  36. 36.I think of a number, multiply it by 2 and then add 3. The answer is 17. What is my number?
  37. 37.4 × ? + 25 = 37
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  39. 39.Aarav has 16 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹104 in all. What does one pencil cost (in ₹)?

Answer key

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

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