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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 180 · 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.Pooja has 9 coins, all ₹5 and ₹2 coins, worth ₹24 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 6 and then add 19. The answer is 31. What is my number?
  3. 3.7 × ? − 25 = 52
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  5. 5.Pooja has 24 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  6. 6.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  8. 8.4 × ? − 20 = 48
  9. 9.6 × ? + 18 = 150
  10. 10.I think of a number, multiply it by 8 and then add 9. The answer is 105. What is my number?
  11. 11.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  12. 12.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 13 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 4 and then add 34. The answer is 42. What is my number?
  15. 15.I think of a number, multiply it by 4 and then add 27. The answer is 143. What is my number?
  16. 16.Solve for x: 7(x + 5) = 3x + 115. What is x?
  17. 17.The length of a rectangle is 2 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  18. 18.Tara has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  19. 19.Sneha has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  20. 20.Solve for x: 8(x + 6) = x + 69. What is x?
  21. 21.4 × ? − 3 = 69
  22. 22.I think of a number, multiply it by 6 and then add 18. The answer is 126. What is my number?
  23. 23.Solve for x: 3(x + 5) = x + 37. What is x?
  24. 24.I think of a number, multiply it by 7 and then take away 28. The answer is 119. What is my number?
  25. 25.I think of a number, multiply it by 5 and then add 37. The answer is 62. What is my number?
  26. 26.Solve for x: 4(x + 5) = 3x + 38. What is x?
  27. 27.Solve for x: 6(x + 1) = x + 81. What is x?
  28. 28.A pen costs ₹10 more than a pencil. 3 pens and 5 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 4) = x + 28. What is x?
  30. 30.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 8 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 9 and then take away 8. The answer is 46. What is my number?
  33. 33.A pen costs ₹5 more than a pencil. 4 pens and 7 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  34. 34.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 14 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  36. 36.Solve for x: 9(x + 7) = 6x + 81. What is x?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  38. 38.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  39. 39.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  40. 40.3 × ? + 13 = 70

Answer key

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

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