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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 458 · 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 ₹9 more than a pencil. 4 pens and 6 pencils cost ₹86 in all. What does one pencil cost (in ₹)?
  2. 2.9 × ? − 25 = 29
  3. 3.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 2 and then add 30. The answer is 60. What is my number?
  5. 5.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 4(x + 3) = x + 45. What is x?
  7. 7.Solve for x: 4(x + 2) = x + 17. What is x?
  8. 8.Solve for x: 8(x + 6) = 3x + 78. What is x?
  9. 9.I think of a number, multiply it by 2 and then take away 29. The answer is 11. What is my number?
  10. 10.A pen costs ₹3 more than a pencil. 2 pens and 8 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  11. 11.Dev has 9 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 4 and then add 31. The answer is 103. What is my number?
  13. 13.10 × ? − 1 = 139
  14. 14.Solve for x: 3(x + 7) = x + 25. What is x?
  15. 15.Solve for x: 7(x + 4) = 3x + 80. What is x?
  16. 16.6 × ? + 12 = 114
  17. 17.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹139 in all. How many ₹5 coins are there?
  18. 18.I think of a number, multiply it by 5 and then add 13. The answer is 113. What is my number?
  19. 19.Zoya has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 12 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  21. 21.4 × ? + 9 = 93
  22. 22.I think of a number, multiply it by 6 and then take away 7. The answer is 95. What is my number?
  23. 23.I think of a number, multiply it by 3 and then add 19. The answer is 55. What is my number?
  24. 24.Arjun has 12 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹14 more than a pencil. 5 pens and 6 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  27. 27.I think of a number, multiply it by 5 and then add 36. The answer is 96. What is my number?
  28. 28.A pen costs ₹9 more than a pencil. 3 pens and 6 pencils cost ₹99 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 22 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 2 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  31. 31.5 × ? + 19 = 119
  32. 32.Rahul has 25 coins, all ₹5 and ₹2 coins, worth ₹113 in all. How many ₹5 coins are there?
  33. 33.5 × ? + 26 = 41
  34. 34.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  35. 35.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹44 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 13 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  37. 37.A pen costs ₹8 more than a pencil. 4 pens and 6 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  38. 38.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 4(x + 3) = 3x + 19. What is x?
  40. 40.I think of a number, multiply it by 7 and then add 21. The answer is 98. What is my number?

Answer key

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

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