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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 176 · 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.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  4. 4.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹231 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 7 and then add 28. The answer is 56. What is my number?
  7. 7.I think of a number, multiply it by 9 and then add 7. The answer is 178. What is my number?
  8. 8.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  9. 9.5 × ? + 20 = 45
  10. 10.Solve for x: 4(x + 2) = x + 17. What is x?
  11. 11.A pen costs ₹5 more than a pencil. 4 pens and 3 pencils cost ₹83 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 7(x + 3) = 4x + 54. What is x?
  13. 13.3 × ? − 7 = 59
  14. 14.Solve for x: 6(x + 6) = 3x + 72. What is x?
  15. 15.9 × ? + 21 = 183
  16. 16.I think of a number, multiply it by 5 and then take away 27. The answer is 83. What is my number?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  19. 19.6 × ? − 22 = 8
  20. 20.I think of a number, multiply it by 8 and then add 37. The answer is 133. What is my number?
  21. 21.I think of a number, multiply it by 5 and then add 29. The answer is 89. What is my number?
  22. 22.I think of a number, multiply it by 3 and then add 16. The answer is 88. What is my number?
  23. 23.I think of a number, multiply it by 5 and then take away 14. The answer is 21. What is my number?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  25. 25.A pen costs ₹12 more than a pencil. 3 pens and 6 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹14 more than a pencil. 2 pens and 6 pencils cost ₹180 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 7(x + 7) = 5x + 69. What is x?
  28. 28.I think of a number, multiply it by 2 and then take away 2. The answer is 54. What is my number?
  29. 29.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  30. 30.The length of a rectangle is 8 m more than its breadth. Its perimeter is 128 m. What is its breadth (in m)?
  31. 31.6 × ? + 14 = 38
  32. 32.6 × ? − 17 = 91
  33. 33.Aditya has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 9 and then take away 36. The answer is 72. What is my number?
  35. 35.Solve for x: 8(x + 1) = 3x + 23. What is x?
  36. 36.4 × ? + 17 = 41
  37. 37.I think of a number, multiply it by 4 and then add 6. The answer is 118. What is my number?
  38. 38.Solve for x: 7(x + 4) = 2x + 33. What is x?
  39. 39.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  40. 40.Meera has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?

Answer key

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

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