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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 90 · 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.A pen costs ₹5 more than a pencil. 2 pens and 7 pencils cost ₹154 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 9 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  3. 3.A pen costs ₹5 more than a pencil. 6 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  4. 4.A pen costs ₹2 more than a pencil. 3 pens and 4 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  5. 5.Solve for x: 7(x + 1) = 5x + 33. What is x?
  6. 6.I think of a number, multiply it by 9 and then add 23. The answer is 257. What is my number?
  7. 7.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 4(x + 2) = 2x + 42. What is x?
  9. 9.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  10. 10.Solve for x: 8(x + 3) = 5x + 63. What is x?
  11. 11.3 × ? + 25 = 46
  12. 12.Solve for x: 8(x + 1) = x + 71. What is x?
  13. 13.A pen costs ₹4 more than a pencil. 2 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 7 and then take away 29. The answer is 97. What is my number?
  15. 15.Kabir has 27 coins, all ₹5 and ₹2 coins, worth ₹96 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 6 and then add 18. The answer is 48. What is my number?
  18. 18.Solve for x: 4(x + 8) = x + 53. What is x?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 144 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 2 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  21. 21.I think of a number, multiply it by 7 and then take away 34. The answer is 176. What is my number?
  22. 22.Sneha has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  23. 23.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 7(x + 8) = 4x + 104. What is x?
  25. 25.4 × ? + 24 = 112
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  28. 28.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  29. 29.I think of a number, multiply it by 5 and then add 28. The answer is 153. What is my number?
  30. 30.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  31. 31.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹66 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 38 m. What is its breadth (in m)?
  33. 33.10 × ? − 6 = 174
  34. 34.Priya has 21 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹2 more than a pencil. 2 pens and 7 pencils cost ₹121 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 7 and then add 27. The answer is 181. What is my number?
  37. 37.I think of a number, multiply it by 8 and then take away 38. The answer is 194. What is my number?
  38. 38.I think of a number, multiply it by 7 and then take away 26. The answer is 93. What is my number?
  39. 39.Pooja has 12 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  40. 40.7 × ? + 18 = 39

Answer key

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

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