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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 357 · 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. 6 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  2. 2.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 6 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  4. 4.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 7 and then take away 26. The answer is 135. What is my number?
  6. 6.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  7. 7.The length of a rectangle is 3 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  8. 8.Solve for x: 5(x + 7) = 4x + 53. What is x?
  9. 9.I think of a number, multiply it by 5 and then take away 33. The answer is 82. What is my number?
  10. 10.Isha has 17 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 8 and then take away 14. The answer is 170. What is my number?
  12. 12.12 × ? − 2 = 286
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  14. 14.I think of a number, multiply it by 7 and then take away 36. The answer is 132. What is my number?
  15. 15.Karan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  16. 16.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  17. 17.4 × ? + 13 = 61
  18. 18.9 × ? + 4 = 220
  19. 19.4 × ? − 3 = 93
  20. 20.10 × ? − 1 = 49
  21. 21.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹8 more than a pencil. 6 pens and 3 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  23. 23.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 3 and then add 32. The answer is 47. What is my number?
  25. 25.4 × ? + 11 = 51
  26. 26.Karan has 14 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹2 more than a pencil. 4 pens and 6 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹14 more than a pencil. 3 pens and 8 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  29. 29.Ananya has 14 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹50 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹13 more than a pencil. 3 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹13 more than a pencil. 2 pens and 6 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  33. 33.Isha has 22 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹4 more than a pencil. 3 pens and 2 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  35. 35.Dev has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  36. 36.Solve for x: 5(x + 4) = 2x + 50. What is x?
  37. 37.A pen costs ₹15 more than a pencil. 5 pens and 2 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  38. 38.I think of a number, multiply it by 9 and then add 7. The answer is 25. What is my number?
  39. 39.Ishaan has 29 coins, all ₹5 and ₹2 coins, worth ₹142 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 4 and then add 28. The answer is 48. What is my number?

Answer key

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

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