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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 151 · 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.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 15 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  3. 3.2 × ? + 29 = 47
  4. 4.Solve for x: 3(x + 8) = 2x + 32. What is x?
  5. 5.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹227 in all. What does one pencil cost (in ₹)?
  6. 6.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹103 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹199 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 3 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  10. 10.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 3 and then add 15. The answer is 78. What is my number?
  13. 13.Solve for x: 4(x + 1) = 3x + 13. What is x?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  15. 15.I think of a number, multiply it by 9 and then take away 39. The answer is 150. What is my number?
  16. 16.Meera has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  17. 17.Solve for x: 3(x + 4) = x + 52. What is x?
  18. 18.I think of a number, multiply it by 8 and then take away 10. The answer is 46. What is my number?
  19. 19.Isha has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  20. 20.2 × ? − 20 = 2
  21. 21.A pen costs ₹11 more than a pencil. 6 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  22. 22.Priya has 26 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 6(x + 6) = 3x + 90. What is x?
  24. 24.The length of a rectangle is 8 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  26. 26.5 × ? + 8 = 33
  27. 27.4 × ? + 4 = 92
  28. 28.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  29. 29.I think of a number, multiply it by 5 and then take away 22. The answer is 3. What is my number?
  30. 30.Solve for x: 4(x + 8) = x + 89. What is x?
  31. 31.Tara has 18 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  33. 33.11 × ? − 4 = 29
  34. 34.I think of a number, multiply it by 6 and then add 31. The answer is 187. What is my number?
  35. 35.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  36. 36.11 × ? − 26 = 117
  37. 37.3 × ? + 15 = 78
  38. 38.9 × ? + 5 = 23
  39. 39.11 × ? + 16 = 148
  40. 40.4 × ? − 30 = 66

Answer key

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

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