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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 346 · 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.The length of a rectangle is 15 m more than its breadth. Its perimeter is 150 m. What is its breadth (in m)?
  2. 2.Farhan has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 7(x + 8) = x + 146. What is x?
  4. 4.The length of a rectangle is 7 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 8 and then take away 19. The answer is 221. What is my number?
  6. 6.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹125 in all. What does one pencil cost (in ₹)?
  7. 7.Arjun has 27 coins, all ₹5 and ₹2 coins, worth ₹114 in all. How many ₹5 coins are there?
  8. 8.The length of a rectangle is 14 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  9. 9.Ishaan has 30 coins, all ₹5 and ₹2 coins, worth ₹108 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹12 more than a pencil. 4 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 7(x + 3) = 6x + 34. What is x?
  12. 12.Rahul has 17 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹2 more than a pencil. 3 pens and 2 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 11 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  15. 15.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹75 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 7 and then add 32. The answer is 95. What is my number?
  17. 17.Solve for x: 3(x + 8) = 2x + 34. What is x?
  18. 18.A pen costs ₹4 more than a pencil. 3 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹65 in all. What does one pencil cost (in ₹)?
  20. 20.A pen costs ₹13 more than a pencil. 6 pens and 7 pencils cost ₹286 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 9 and then take away 9. The answer is 72. What is my number?
  22. 22.8 × ? − 19 = 93
  23. 23.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹33 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 4 and then add 18. The answer is 26. What is my number?
  25. 25.7 × ? + 26 = 40
  26. 26.I think of a number, multiply it by 4 and then take away 12. The answer is 88. What is my number?
  27. 27.Solve for x: 3(x + 4) = x + 48. What is x?
  28. 28.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 6 and then take away 5. The answer is 163. What is my number?
  31. 31.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  32. 32.Solve for x: 7(x + 5) = 3x + 111. What is x?
  33. 33.5 × ? + 18 = 143
  34. 34.A pen costs ₹6 more than a pencil. 5 pens and 7 pencils cost ₹258 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 5 and then take away 10. The answer is 90. What is my number?
  36. 36.2 × ? + 22 = 54
  37. 37.Tara has 23 coins, all ₹5 and ₹2 coins, worth ₹100 in all. How many ₹5 coins are there?
  38. 38.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  39. 39.A pen costs ₹8 more than a pencil. 5 pens and 5 pencils cost ₹70 in all. What does one pencil cost (in ₹)?
  40. 40.I think of a number, multiply it by 6 and then add 26. The answer is 194. What is my number?

Answer key

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

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