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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 952 · 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: 4(x + 2) = x + 59. What is x?
  2. 2.Priya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  3. 3.6 × ? − 8 = 124
  4. 4.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  5. 5.Solve for x: 5(x + 2) = 3x + 40. What is x?
  6. 6.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹277 in all. What does one pencil cost (in ₹)?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  8. 8.Solve for x: 8(x + 4) = 5x + 50. What is x?
  9. 9.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  10. 10.3 × ? + 6 = 78
  11. 11.A pen costs ₹12 more than a pencil. 4 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  12. 12.I think of a number, multiply it by 4 and then add 38. The answer is 58. What is my number?
  13. 13.A pen costs ₹9 more than a pencil. 2 pens and 5 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 10 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 3 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  16. 16.I think of a number, multiply it by 7 and then add 3. The answer is 143. What is my number?
  17. 17.I think of a number, multiply it by 6 and then add 19. The answer is 55. What is my number?
  18. 18.10 × ? − 20 = 200
  19. 19.Solve for x: 3(x + 6) = 2x + 35. What is x?
  20. 20.3 × ? + 23 = 38
  21. 21.I think of a number, multiply it by 6 and then add 35. The answer is 125. What is my number?
  22. 22.I think of a number, multiply it by 5 and then add 11. The answer is 111. What is my number?
  23. 23.Pooja has 16 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  24. 24.The length of a rectangle is 10 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  25. 25.Solve for x: 3(x + 1) = x + 33. What is x?
  26. 26.I think of a number, multiply it by 8 and then add 13. The answer is 109. What is my number?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  28. 28.Dev has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  29. 29.4 × ? + 23 = 87
  30. 30.Ananya has 25 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 7 and then take away 11. The answer is 59. What is my number?
  32. 32.Diya has 21 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  34. 34.Sneha has 27 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 5 and then add 4. The answer is 94. What is my number?
  36. 36.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹219 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 8 and then take away 37. The answer is 139. What is my number?
  38. 38.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  39. 39.Kavya has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 2 and then add 10. The answer is 26. What is my number?

Answer key

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

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