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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 582 · 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.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  2. 2.10 × ? + 24 = 154
  3. 3.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  4. 4.The length of a rectangle is 6 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  6. 6.I think of a number, multiply it by 6 and then add 11. The answer is 83. What is my number?
  7. 7.Solve for x: 6(x + 4) = 3x + 39. What is x?
  8. 8.I think of a number, multiply it by 5 and then add 11. The answer is 96. What is my number?
  9. 9.Kabir has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  10. 10.I think of a number, multiply it by 5 and then take away 5. The answer is 135. What is my number?
  11. 11.8 × ? − 29 = 3
  12. 12.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  13. 13.9 × ? − 6 = 120
  14. 14.Solve for x: 5(x + 8) = 4x + 42. What is x?
  15. 15.Solve for x: 6(x + 7) = 2x + 62. What is x?
  16. 16.11 × ? − 20 = 134
  17. 17.I think of a number, multiply it by 6 and then add 29. The answer is 197. What is my number?
  18. 18.Solve for x: 7(x + 1) = 4x + 55. What is x?
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 6 and then add 26. The answer is 194. What is my number?
  21. 21.A pen costs ₹4 more than a pencil. 4 pens and 4 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 9 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 6 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 2 and then add 21. The answer is 79. What is my number?
  25. 25.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹270 in all. What does one pencil cost (in ₹)?
  26. 26.Meera has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 4(x + 6) = x + 72. What is x?
  28. 28.2 × ? − 15 = 25
  29. 29.I think of a number, multiply it by 7 and then add 14. The answer is 42. What is my number?
  30. 30.Ananya has 29 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  32. 32.Aditya has 21 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹2 more than a pencil. 6 pens and 3 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 7 and then add 36. The answer is 204. What is my number?
  35. 35.Pooja has 14 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  36. 36.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  38. 38.A pen costs ₹6 more than a pencil. 3 pens and 5 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  40. 40.Diya has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?

Answer key

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

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