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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 858 · 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.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹85 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 4(x + 9) = 3x + 52. What is x?
  3. 3.I think of a number, multiply it by 6 and then add 16. The answer is 28. What is my number?
  4. 4.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  6. 6.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  7. 7.12 × ? − 7 = 233
  8. 8.3 × ? + 19 = 52
  9. 9.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  11. 11.6 × ? − 20 = 22
  12. 12.A pen costs ₹12 more than a pencil. 2 pens and 6 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 2 and then take away 7. The answer is 35. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 33. The answer is 69. What is my number?
  15. 15.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  16. 16.Isha has 25 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  17. 17.Saanvi has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  19. 19.I think of a number, multiply it by 2 and then take away 17. The answer is 19. What is my number?
  20. 20.5 × ? + 11 = 41
  21. 21.A pen costs ₹7 more than a pencil. 4 pens and 3 pencils cost ₹77 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  24. 24.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹40 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 2 and then add 26. The answer is 32. What is my number?
  26. 26.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 7 and then add 17. The answer is 150. What is my number?
  28. 28.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  30. 30.Solve for x: 3(x + 4) = x + 46. What is x?
  31. 31.Solve for x: 5(x + 3) = x + 39. What is x?
  32. 32.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  33. 33.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  34. 34.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  35. 35.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  36. 36.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹2 more than a pencil. 2 pens and 3 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  39. 39.2 × ? − 9 = 7
  40. 40.I think of a number, multiply it by 7 and then add 2. The answer is 198. What is my number?

Answer key

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

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