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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 850 · 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.Karan has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  2. 2.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  3. 3.11 × ? − 2 = 273
  4. 4.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  5. 5.10 × ? − 10 = 110
  6. 6.Rahul has 10 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  7. 7.The length of a rectangle is 10 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  8. 8.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  9. 9.11 × ? + 23 = 188
  10. 10.Solve for x: 7(x + 1) = 5x + 29. What is x?
  11. 11.5 × ? − 13 = 17
  12. 12.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹112 in all. How many ₹5 coins are there?
  13. 13.4 × ? − 9 = 31
  14. 14.Solve for x: 3(x + 1) = 2x + 7. What is x?
  15. 15.Solve for x: 8(x + 2) = 2x + 64. What is x?
  16. 16.I think of a number, multiply it by 6 and then add 35. The answer is 89. What is my number?
  17. 17.The length of a rectangle is 5 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  19. 19.A pen costs ₹2 more than a pencil. 2 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹14 more than a pencil. 4 pens and 4 pencils cost ₹200 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 9 and then take away 10. The answer is 224. What is my number?
  22. 22.4 × ? + 19 = 27
  23. 23.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹243 in all. What does one pencil cost (in ₹)?
  24. 24.A pen costs ₹12 more than a pencil. 5 pens and 7 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 3(x + 5) = x + 17. What is x?
  26. 26.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹93 in all. What does one pencil cost (in ₹)?
  27. 27.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  28. 28.9 × ? − 15 = 102
  29. 29.Solve for x: 7(x + 2) = 5x + 20. What is x?
  30. 30.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 5(x + 7) = 2x + 68. What is x?
  32. 32.I think of a number, multiply it by 2 and then take away 7. The answer is 51. What is my number?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  34. 34.Karan has 22 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  35. 35.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  36. 36.Rahul has 21 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  37. 37.A pen costs ₹11 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  38. 38.Solve for x: 3(x + 3) = 2x + 18. What is x?
  39. 39.Solve for x: 6(x + 9) = 2x + 86. What is x?
  40. 40.11 × ? − 14 = 107

Answer key

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

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