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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 877 · 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.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹12 more than a pencil. 6 pens and 5 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 3(x + 5) = 2x + 17. What is x?
  6. 6.I think of a number, multiply it by 7 and then add 34. The answer is 69. What is my number?
  7. 7.A pen costs ₹15 more than a pencil. 6 pens and 7 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹185 in all. What does one pencil cost (in ₹)?
  9. 9.Pooja has 28 coins, all ₹5 and ₹2 coins, worth ₹137 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 13 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  11. 11.A pen costs ₹7 more than a pencil. 5 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 9(x + 8) = 3x + 186. What is x?
  13. 13.Vivaan has 24 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 6(x + 6) = x + 96. What is x?
  15. 15.I think of a number, multiply it by 4 and then add 31. The answer is 55. What is my number?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  17. 17.Solve for x: 8(x + 3) = 2x + 54. What is x?
  18. 18.7 × ? + 2 = 79
  19. 19.I think of a number, multiply it by 3 and then take away 24. The answer is 51. What is my number?
  20. 20.4 × ? + 19 = 111
  21. 21.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  22. 22.I think of a number, multiply it by 4 and then take away 14. The answer is 14. What is my number?
  23. 23.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?
  24. 24.Diya has 23 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 2 and then add 4. The answer is 48. What is my number?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  28. 28.Solve for x: 5(x + 1) = 3x + 7. What is x?
  29. 29.12 × ? + 5 = 101
  30. 30.5 × ? + 13 = 28
  31. 31.A pen costs ₹9 more than a pencil. 5 pens and 5 pencils cost ₹235 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  33. 33.The length of a rectangle is 5 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  34. 34.The length of a rectangle is 6 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  35. 35.Kavya has 15 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 2 and then add 9. The answer is 33. What is my number?
  37. 37.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  38. 38.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  39. 39.4 × ? + 28 = 40
  40. 40.11 × ? + 22 = 132

Answer key

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

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