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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 961 · 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.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 2 and then add 23. The answer is 57. What is my number?
  3. 3.Solve for x: 5(x + 4) = 4x + 39. What is x?
  4. 4.Kavya has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 2 and then add 21. The answer is 37. What is my number?
  6. 6.Solve for x: 4(x + 6) = x + 66. What is x?
  7. 7.The length of a rectangle is 5 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  8. 8.Nisha has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 8 and then take away 39. The answer is 25. What is my number?
  10. 10.I think of a number, multiply it by 6 and then add 17. The answer is 113. What is my number?
  11. 11.The length of a rectangle is 9 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  12. 12.Manav has 14 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 2 and then add 2. The answer is 12. What is my number?
  14. 14.Vivaan has 28 coins, all ₹5 and ₹2 coins, worth ₹122 in all. How many ₹5 coins are there?
  15. 15.Manav has 26 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  16. 16.12 × ? − 10 = 242
  17. 17.A pen costs ₹9 more than a pencil. 2 pens and 2 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹7 more than a pencil. 4 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 8 and then take away 9. The answer is 151. What is my number?
  20. 20.Solve for x: 7(x + 1) = 5x + 47. What is x?
  21. 21.I think of a number, multiply it by 3 and then take away 36. The answer is 21. What is my number?
  22. 22.A pen costs ₹7 more than a pencil. 4 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  23. 23.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  24. 24.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 6 and then add 2. The answer is 146. What is my number?
  26. 26.5 × ? + 20 = 45
  27. 27.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  28. 28.Solve for x: 7(x + 2) = 6x + 19. What is x?
  29. 29.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹118 in all. How many ₹5 coins are there?
  30. 30.Solve for x: 6(x + 2) = x + 37. What is x?
  31. 31.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  32. 32.Pooja has 30 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  33. 33.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  35. 35.Tara has 12 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹141 in all. What does one pencil cost (in ₹)?
  37. 37.The length of a rectangle is 7 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  38. 38.A pen costs ₹7 more than a pencil. 3 pens and 8 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 4 and then add 12. The answer is 80. What is my number?
  40. 40.I think of a number, multiply it by 6 and then add 28. The answer is 154. What is my number?

Answer key

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

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