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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 378 · 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.Solve for x: 5(x + 9) = 3x + 53. What is x?
  2. 2.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹248 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 6 and then add 6. The answer is 168. What is my number?
  4. 4.9 × ? + 30 = 111
  5. 5.I think of a number, multiply it by 4 and then take away 12. The answer is 80. What is my number?
  6. 6.The length of a rectangle is 8 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  7. 7.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  8. 8.5 × ? − 28 = 47
  9. 9.Isha has 29 coins, all ₹5 and ₹2 coins, worth ₹121 in all. How many ₹5 coins are there?
  10. 10.6 × ? + 4 = 34
  11. 11.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  12. 12.The length of a rectangle is 5 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  13. 13.The length of a rectangle is 9 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  14. 14.7 × ? + 25 = 39
  15. 15.A pen costs ₹2 more than a pencil. 5 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  16. 16.Karan has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?
  17. 17.Rahul has 8 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  18. 18.Diya has 24 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 2 and then take away 31. The answer is 11. What is my number?
  20. 20.A pen costs ₹11 more than a pencil. 2 pens and 4 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹14 more than a pencil. 5 pens and 4 pencils cost ₹115 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹15 more than a pencil. 4 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹9 more than a pencil. 3 pens and 3 pencils cost ₹147 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 5 and then add 26. The answer is 146. What is my number?
  25. 25.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  26. 26.6 × ? + 11 = 101
  27. 27.A pen costs ₹4 more than a pencil. 4 pens and 2 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 7(x + 4) = x + 94. What is x?
  29. 29.A pen costs ₹12 more than a pencil. 5 pens and 2 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  30. 30.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  31. 31.Priya has 13 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 5 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  33. 33.I think of a number, multiply it by 5 and then take away 5. The answer is 120. What is my number?
  34. 34.A pen costs ₹6 more than a pencil. 5 pens and 2 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  35. 35.Tara has 15 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 9 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  38. 38.Solve for x: 3(x + 4) = 2x + 17. What is x?
  39. 39.I think of a number, multiply it by 4 and then add 2. The answer is 110. What is my number?
  40. 40.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹130 in all. What does one pencil cost (in ₹)?

Answer key

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

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