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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 464 · 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.Solve for x: 3(x + 8) = 2x + 27. What is x?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  3. 3.12 × ? + 15 = 51
  4. 4.9 × ? + 11 = 38
  5. 5.I think of a number, multiply it by 2 and then take away 32. The answer is 20. What is my number?
  6. 6.11 × ? + 4 = 59
  7. 7.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 7 and then add 4. The answer is 214. What is my number?
  9. 9.A pen costs ₹9 more than a pencil. 6 pens and 4 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 4 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  11. 11.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 5 and then take away 34. The answer is 46. What is my number?
  13. 13.12 × ? − 30 = 150
  14. 14.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹239 in all. What does one pencil cost (in ₹)?
  15. 15.Ananya has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  16. 16.Rahul has 27 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 6 and then add 2. The answer is 158. What is my number?
  19. 19.11 × ? + 2 = 167
  20. 20.Tara has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  21. 21.A pen costs ₹3 more than a pencil. 4 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  22. 22.Rahul has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  24. 24.Rahul has 26 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  25. 25.Ishaan has 29 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  26. 26.Vivaan has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  27. 27.Solve for x: 6(x + 4) = 4x + 38. What is x?
  28. 28.Dev has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  29. 29.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹2 more than a pencil. 6 pens and 2 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  31. 31.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  32. 32.5 × ? − 1 = 24
  33. 33.A pen costs ₹11 more than a pencil. 3 pens and 3 pencils cost ₹63 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  35. 35.Tara has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  36. 36.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 3(x + 9) = x + 43. What is x?
  38. 38.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  39. 39.2 × ? − 29 = 17
  40. 40.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹85 in all. What does one pencil cost (in ₹)?

Answer key

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

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