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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 232 · 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.A pen costs ₹6 more than a pencil. 4 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  2. 2.Karan has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹7 more than a pencil. 5 pens and 4 pencils cost ₹71 in all. What does one pencil cost (in ₹)?
  4. 4.Aditya has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.5 × ? − 11 = 24
  6. 6.Sneha has 9 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  7. 7.Arjun has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  10. 10.Solve for x: 7(x + 4) = 4x + 31. What is x?
  11. 11.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  12. 12.6 × ? + 19 = 169
  13. 13.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 9(x + 3) = 6x + 51. What is x?
  15. 15.I think of a number, multiply it by 6 and then take away 1. The answer is 131. What is my number?
  16. 16.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹10 more than a pencil. 4 pens and 5 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  19. 19.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 9 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 3 and then take away 10. The answer is 68. What is my number?
  22. 22.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  23. 23.Solve for x: 4(x + 4) = 3x + 20. What is x?
  24. 24.The length of a rectangle is 9 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  25. 25.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  26. 26.Rohan has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  27. 27.5 × ? + 11 = 51
  28. 28.A pen costs ₹4 more than a pencil. 6 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 6 and then add 15. The answer is 33. What is my number?
  31. 31.I think of a number, multiply it by 5 and then take away 16. The answer is 64. What is my number?
  32. 32.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹59 in all. What does one pencil cost (in ₹)?
  34. 34.I think of a number, multiply it by 4 and then take away 31. The answer is 33. What is my number?
  35. 35.I think of a number, multiply it by 4 and then add 28. The answer is 132. What is my number?
  36. 36.The length of a rectangle is 6 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  37. 37.11 × ? + 27 = 104
  38. 38.10 × ? + 4 = 44
  39. 39.A pen costs ₹2 more than a pencil. 3 pens and 6 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  40. 40.4 × ? − 18 = 50

Answer key

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

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