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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 984 · 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.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 5 and then add 24. The answer is 94. What is my number?
  3. 3.3 × ? − 6 = 51
  4. 4.5 × ? + 15 = 130
  5. 5.8 × ? + 11 = 203
  6. 6.A pen costs ₹2 more than a pencil. 3 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  7. 7.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 3(x + 1) = x + 25. What is x?
  9. 9.I think of a number, multiply it by 6 and then add 21. The answer is 57. What is my number?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 138 m. What is its breadth (in m)?
  11. 11.Solve for x: 4(x + 4) = 2x + 40. What is x?
  12. 12.I think of a number, multiply it by 6 and then add 4. The answer is 118. What is my number?
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  14. 14.9 × ? + 3 = 48
  15. 15.Solve for x: 4(x + 1) = 3x + 18. What is x?
  16. 16.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  17. 17.10 × ? − 3 = 217
  18. 18.I think of a number, multiply it by 5 and then take away 34. The answer is 56. What is my number?
  19. 19.Isha has 23 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  20. 20.I think of a number, multiply it by 7 and then add 38. The answer is 59. What is my number?
  21. 21.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  22. 22.Priya has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 8(x + 7) = 6x + 58. What is x?
  24. 24.Rohan has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  26. 26.Solve for x: 6(x + 7) = x + 72. What is x?
  27. 27.8 × ? + 6 = 78
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  29. 29.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  30. 30.Priya has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  31. 31.7 × ? − 18 = 66
  32. 32.Solve for x: 7(x + 3) = 5x + 37. What is x?
  33. 33.Solve for x: 3(x + 2) = 2x + 8. What is x?
  34. 34.11 × ? − 24 = 31
  35. 35.The length of a rectangle is 4 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  36. 36.A pen costs ₹6 more than a pencil. 5 pens and 4 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  37. 37.Solve for x: 5(x + 3) = x + 71. What is x?
  38. 38.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  39. 39.7 × ? − 3 = 25
  40. 40.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?

Answer key

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

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