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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 487 · 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.Priya has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹12 more than a pencil. 4 pens and 3 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 3 and then add 5. The answer is 17. What is my number?
  4. 4.5 × ? + 10 = 95
  5. 5.Meera has 26 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  6. 6.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 15 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  8. 8.Solve for x: 4(x + 7) = 3x + 43. What is x?
  9. 9.2 × ? + 1 = 15
  10. 10.Solve for x: 4(x + 4) = 2x + 32. What is x?
  11. 11.Solve for x: 3(x + 5) = 2x + 20. What is x?
  12. 12.Solve for x: 7(x + 4) = 4x + 46. What is x?
  13. 13.A pen costs ₹8 more than a pencil. 2 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 5(x + 6) = 3x + 70. What is x?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  16. 16.8 × ? − 11 = 93
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  18. 18.Solve for x: 9(x + 8) = 4x + 117. What is x?
  19. 19.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  20. 20.Nisha has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  22. 22.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  23. 23.Solve for x: 3(x + 5) = x + 17. What is x?
  24. 24.8 × ? − 14 = 122
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 3 and then take away 40. The answer is 5. What is my number?
  27. 27.I think of a number, multiply it by 7 and then add 1. The answer is 15. What is my number?
  28. 28.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  30. 30.4 × ? + 7 = 75
  31. 31.Aditya has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  32. 32.I think of a number, multiply it by 4 and then add 17. The answer is 109. What is my number?
  33. 33.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 7 and then add 26. The answer is 131. What is my number?
  35. 35.The length of a rectangle is 3 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  36. 36.A pen costs ₹3 more than a pencil. 5 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  38. 38.Tara has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 3 and then take away 22. The answer is 23. What is my number?
  40. 40.Solve for x: 5(x + 6) = x + 66. What is x?

Answer key

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

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