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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 674 · 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.I think of a number, multiply it by 6 and then add 17. The answer is 185. What is my number?
  2. 2.The length of a rectangle is 6 m more than its breadth. Its perimeter is 28 m. What is its breadth (in m)?
  3. 3.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  4. 4.The length of a rectangle is 5 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  5. 5.A pen costs ₹11 more than a pencil. 4 pens and 5 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  6. 6.I think of a number, multiply it by 3 and then take away 6. The answer is 21. What is my number?
  7. 7.The length of a rectangle is 8 m more than its breadth. Its perimeter is 136 m. What is its breadth (in m)?
  8. 8.A pen costs ₹8 more than a pencil. 6 pens and 5 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  9. 9.Isha has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  10. 10.Zoya has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  12. 12.Solve for x: 9(x + 1) = 5x + 13. What is x?
  13. 13.I think of a number, multiply it by 6 and then take away 10. The answer is 86. What is my number?
  14. 14.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  15. 15.Dev has 28 coins, all ₹5 and ₹2 coins, worth ₹95 in all. How many ₹5 coins are there?
  16. 16.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  17. 17.5 × ? + 16 = 26
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  19. 19.Solve for x: 9(x + 4) = 8x + 45. What is x?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  21. 21.6 × ? + 9 = 129
  22. 22.I think of a number, multiply it by 7 and then take away 33. The answer is 23. What is my number?
  23. 23.10 × ? − 4 = 166
  24. 24.5 × ? − 7 = 48
  25. 25.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹127 in all. What does one pencil cost (in ₹)?
  26. 26.Solve for x: 5(x + 3) = x + 47. What is x?
  27. 27.The length of a rectangle is 13 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  28. 28.A pen costs ₹2 more than a pencil. 6 pens and 5 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  29. 29.8 × ? − 1 = 87
  30. 30.Rohan has 18 coins, all ₹5 and ₹2 coins, worth ₹69 in all. How many ₹5 coins are there?
  31. 31.Arjun has 17 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  34. 34.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹190 in all. What does one pencil cost (in ₹)?
  35. 35.10 × ? − 2 = 128
  36. 36.I think of a number, multiply it by 8 and then add 15. The answer is 127. What is my number?
  37. 37.2 × ? + 3 = 41
  38. 38.A pen costs ₹4 more than a pencil. 6 pens and 2 pencils cost ₹72 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹259 in all. What does one pencil cost (in ₹)?
  40. 40.Solve for x: 6(x + 7) = 3x + 51. What is x?

Answer key

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

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