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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 968 · 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.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  2. 2.Kavya has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 7(x + 8) = 4x + 86. What is x?
  4. 4.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  5. 5.2 × ? + 28 = 44
  6. 6.I think of a number, multiply it by 6 and then add 27. The answer is 105. What is my number?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  9. 9.8 × ? + 1 = 177
  10. 10.I think of a number, multiply it by 3 and then take away 6. The answer is 78. What is my number?
  11. 11.I think of a number, multiply it by 7 and then take away 10. The answer is 95. What is my number?
  12. 12.Solve for x: 3(x + 5) = 2x + 21. What is x?
  13. 13.I think of a number, multiply it by 8 and then take away 7. The answer is 81. What is my number?
  14. 14.Solve for x: 4(x + 8) = 2x + 40. What is x?
  15. 15.6 × ? − 8 = 106
  16. 16.I think of a number, multiply it by 4 and then add 18. The answer is 30. What is my number?
  17. 17.I think of a number, multiply it by 5 and then take away 30. The answer is 95. What is my number?
  18. 18.6 × ? + 30 = 150
  19. 19.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  20. 20.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 9(x + 8) = x + 128. What is x?
  22. 22.A pen costs ₹4 more than a pencil. 5 pens and 6 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  24. 24.Solve for x: 4(x + 7) = 3x + 40. What is x?
  25. 25.4 × ? + 22 = 42
  26. 26.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 8 and then add 3. The answer is 123. What is my number?
  28. 28.9 × ? − 4 = 104
  29. 29.Isha has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  30. 30.Zoya has 26 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  31. 31.11 × ? + 18 = 150
  32. 32.Solve for x: 4(x + 2) = 3x + 21. What is x?
  33. 33.Vivaan has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  34. 34.9 × ? − 23 = 121
  35. 35.I think of a number, multiply it by 7 and then add 26. The answer is 159. What is my number?
  36. 36.The length of a rectangle is 4 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  37. 37.Arjun has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 8(x + 7) = x + 98. What is x?
  39. 39.Diya has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  40. 40.6 × ? − 2 = 76

Answer key

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

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