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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 985 · 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.I think of a number, multiply it by 6 and then add 6. The answer is 120. What is my number?
  2. 2.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹81 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 6(x + 5) = 3x + 57. What is x?
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 88 m. What is its breadth (in m)?
  6. 6.A pen costs ₹10 more than a pencil. 5 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  7. 7.A pen costs ₹7 more than a pencil. 6 pens and 6 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  8. 8.3 × ? − 5 = 55
  9. 9.I think of a number, multiply it by 3 and then take away 22. The answer is 2. What is my number?
  10. 10.Solve for x: 6(x + 9) = 4x + 74. What is x?
  11. 11.Vivaan has 22 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 5 and then add 20. The answer is 170. What is my number?
  13. 13.A pen costs ₹14 more than a pencil. 4 pens and 7 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  14. 14.Nisha has 25 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 7 and then add 5. The answer is 215. What is my number?
  16. 16.A pen costs ₹3 more than a pencil. 6 pens and 8 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹12 more than a pencil. 2 pens and 4 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  18. 18.2 × ? + 18 = 66
  19. 19.8 × ? − 18 = 150
  20. 20.I think of a number, multiply it by 2 and then add 39. The answer is 55. What is my number?
  21. 21.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 5(x + 5) = 4x + 27. What is x?
  23. 23.Solve for x: 6(x + 2) = 4x + 44. What is x?
  24. 24.A pen costs ₹2 more than a pencil. 5 pens and 5 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  26. 26.10 × ? − 5 = 125
  27. 27.Solve for x: 9(x + 3) = 7x + 43. What is x?
  28. 28.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 5(x + 5) = x + 45. What is x?
  30. 30.11 × ? − 15 = 227
  31. 31.5 × ? + 5 = 100
  32. 32.Solve for x: 9(x + 6) = 3x + 72. What is x?
  33. 33.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹4 more than a pencil. 2 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  35. 35.A pen costs ₹9 more than a pencil. 4 pens and 3 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 9(x + 6) = 4x + 139. What is x?
  37. 37.I think of a number, multiply it by 9 and then add 29. The answer is 119. What is my number?
  38. 38.A pen costs ₹7 more than a pencil. 2 pens and 4 pencils cost ₹38 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹15 more than a pencil. 2 pens and 6 pencils cost ₹142 in all. What does one pencil cost (in ₹)?
  40. 40.Karan has 17 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?

Answer key

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

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