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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 474 · 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.Rahul has 28 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹5 more than a pencil. 3 pens and 3 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 3 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  5. 5.Solve for x: 3(x + 6) = 2x + 31. What is x?
  6. 6.I think of a number, multiply it by 6 and then add 26. The answer is 152. What is my number?
  7. 7.A pen costs ₹3 more than a pencil. 6 pens and 5 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 5 and then add 30. The answer is 170. What is my number?
  9. 9.A pen costs ₹9 more than a pencil. 3 pens and 7 pencils cost ₹117 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹9 more than a pencil. 5 pens and 7 pencils cost ₹177 in all. What does one pencil cost (in ₹)?
  11. 11.Pooja has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  12. 12.A pen costs ₹12 more than a pencil. 3 pens and 2 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  13. 13.I think of a number, multiply it by 7 and then take away 21. The answer is 105. What is my number?
  14. 14.The length of a rectangle is 13 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  15. 15.A pen costs ₹2 more than a pencil. 4 pens and 7 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  17. 17.2 × ? + 22 = 36
  18. 18.8 × ? + 28 = 132
  19. 19.Sneha has 26 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹11 more than a pencil. 6 pens and 5 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹15 more than a pencil. 5 pens and 7 pencils cost ₹267 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹2 more than a pencil. 5 pens and 8 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  23. 23.10 × ? − 28 = 142
  24. 24.The length of a rectangle is 12 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  25. 25.A pen costs ₹13 more than a pencil. 5 pens and 6 pencils cost ₹208 in all. What does one pencil cost (in ₹)?
  26. 26.11 × ? − 8 = 91
  27. 27.2 × ? − 1 = 23
  28. 28.A pen costs ₹7 more than a pencil. 5 pens and 5 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  29. 29.10 × ? + 6 = 116
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 6 and then add 40. The answer is 136. What is my number?
  32. 32.2 × ? − 12 = 26
  33. 33.I think of a number, multiply it by 6 and then take away 8. The answer is 118. What is my number?
  34. 34.Dev has 21 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  35. 35.I think of a number, multiply it by 2 and then add 33. The answer is 67. What is my number?
  36. 36.A pen costs ₹10 more than a pencil. 3 pens and 4 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  37. 37.Karan has 25 coins, all ₹5 and ₹2 coins, worth ₹107 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 6(x + 8) = 2x + 120. What is x?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  40. 40.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?

Answer key

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

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