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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 368 · 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.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 6 and then add 25. The answer is 145. What is my number?
  4. 4.I think of a number, multiply it by 8 and then take away 11. The answer is 85. What is my number?
  5. 5.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 2 and then add 29. The answer is 45. What is my number?
  7. 7.Solve for x: 4(x + 3) = x + 72. What is x?
  8. 8.Solve for x: 4(x + 1) = x + 43. What is x?
  9. 9.8 × ? − 6 = 154
  10. 10.9 × ? + 6 = 177
  11. 11.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  12. 12.8 × ? − 1 = 151
  13. 13.Farhan has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  14. 14.10 × ? + 5 = 105
  15. 15.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹143 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 6 and then add 33. The answer is 207. What is my number?
  17. 17.I think of a number, multiply it by 4 and then add 12. The answer is 32. What is my number?
  18. 18.Solve for x: 3(x + 3) = 2x + 10. What is x?
  19. 19.The length of a rectangle is 7 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 3 and then add 13. The answer is 67. What is my number?
  21. 21.A pen costs ₹12 more than a pencil. 4 pens and 2 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹4 more than a pencil. 5 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 6 and then take away 13. The answer is 17. What is my number?
  24. 24.Solve for x: 8(x + 9) = 7x + 88. What is x?
  25. 25.A pen costs ₹5 more than a pencil. 3 pens and 6 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  26. 26.Tara has 22 coins, all ₹5 and ₹2 coins, worth ₹80 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹5 more than a pencil. 6 pens and 5 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  28. 28.Rohan has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹9 more than a pencil. 3 pens and 5 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  31. 31.Solve for x: 5(x + 2) = 3x + 40. What is x?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 6 and then add 34. The answer is 46. What is my number?
  34. 34.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  35. 35.6 × ? − 29 = 61
  36. 36.I think of a number, multiply it by 4 and then add 24. The answer is 116. What is my number?
  37. 37.A pen costs ₹12 more than a pencil. 3 pens and 8 pencils cost ₹223 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 6 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  40. 40.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?

Answer key

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

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