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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 380 · 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.Farhan has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 8(x + 1) = 4x + 80. What is x?
  3. 3.10 × ? − 18 = 2
  4. 4.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 2 and then add 34. The answer is 76. What is my number?
  6. 6.A pen costs ₹12 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  7. 7.12 × ? + 5 = 137
  8. 8.Kabir has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹8 more than a pencil. 3 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 7(x + 3) = x + 39. What is x?
  11. 11.8 × ? − 3 = 37
  12. 12.I think of a number, multiply it by 9 and then add 37. The answer is 91. What is my number?
  13. 13.I think of a number, multiply it by 5 and then add 25. The answer is 40. What is my number?
  14. 14.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹252 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  16. 16.3 × ? − 22 = 23
  17. 17.Solve for x: 5(x + 1) = 3x + 19. What is x?
  18. 18.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 5 and then take away 8. The answer is 127. What is my number?
  20. 20.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 7) = 2x + 23. What is x?
  22. 22.Solve for x: 5(x + 4) = 2x + 23. What is x?
  23. 23.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  24. 24.Vivaan has 19 coins, all ₹5 and ₹2 coins, worth ₹89 in all. How many ₹5 coins are there?
  25. 25.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  26. 26.Saanvi has 29 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  27. 27.12 × ? − 9 = 183
  28. 28.I think of a number, multiply it by 8 and then add 39. The answer is 199. What is my number?
  29. 29.9 × ? − 12 = 96
  30. 30.4 × ? − 2 = 62
  31. 31.I think of a number, multiply it by 9 and then take away 38. The answer is 142. What is my number?
  32. 32.Solve for x: 4(x + 5) = 2x + 52. What is x?
  33. 33.A pen costs ₹15 more than a pencil. 5 pens and 8 pencils cost ₹244 in all. What does one pencil cost (in ₹)?
  34. 34.Rohan has 21 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  36. 36.Solve for x: 6(x + 5) = 3x + 36. What is x?
  37. 37.Solve for x: 7(x + 5) = x + 101. What is x?
  38. 38.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  39. 39.Meera has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  40. 40.Rahul has 29 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?

Answer key

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

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