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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 722 · 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.Solve for x: 4(x + 5) = 3x + 31. What is x?
  2. 2.A pen costs ₹12 more than a pencil. 6 pens and 4 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹2 more than a pencil. 3 pens and 7 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  4. 4.I think of a number, multiply it by 7 and then take away 14. The answer is 63. What is my number?
  5. 5.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  6. 6.The length of a rectangle is 10 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  7. 7.Ananya has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  8. 8.10 × ? + 14 = 94
  9. 9.A pen costs ₹14 more than a pencil. 6 pens and 5 pencils cost ₹249 in all. What does one pencil cost (in ₹)?
  10. 10.The length of a rectangle is 2 m more than its breadth. Its perimeter is 48 m. What is its breadth (in m)?
  11. 11.12 × ? − 9 = 51
  12. 12.3 × ? + 5 = 62
  13. 13.5 × ? + 7 = 32
  14. 14.12 × ? − 23 = 145
  15. 15.A pen costs ₹15 more than a pencil. 2 pens and 3 pencils cost ₹45 in all. What does one pencil cost (in ₹)?
  16. 16.11 × ? − 29 = 4
  17. 17.I think of a number, multiply it by 3 and then take away 3. The answer is 60. What is my number?
  18. 18.Nisha has 24 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  20. 20.Aditya has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  21. 21.Solve for x: 9(x + 9) = 6x + 90. What is x?
  22. 22.Solve for x: 4(x + 9) = 3x + 40. What is x?
  23. 23.I think of a number, multiply it by 2 and then take away 5. The answer is 11. What is my number?
  24. 24.A pen costs ₹12 more than a pencil. 5 pens and 4 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 8 and then add 17. The answer is 33. What is my number?
  26. 26.Zoya has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  27. 27.Isha has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 15 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  29. 29.11 × ? − 1 = 219
  30. 30.A pen costs ₹8 more than a pencil. 5 pens and 3 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  31. 31.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹10 more than a pencil. 2 pens and 7 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  33. 33.A pen costs ₹15 more than a pencil. 2 pens and 4 pencils cost ₹66 in all. What does one pencil cost (in ₹)?
  34. 34.A pen costs ₹15 more than a pencil. 3 pens and 7 pencils cost ₹245 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 3 and then take away 28. The answer is 23. What is my number?
  36. 36.I think of a number, multiply it by 2 and then take away 26. The answer is 4. What is my number?
  37. 37.A pen costs ₹5 more than a pencil. 6 pens and 7 pencils cost ₹225 in all. What does one pencil cost (in ₹)?
  38. 38.Ananya has 23 coins, all ₹5 and ₹2 coins, worth ₹58 in all. How many ₹5 coins are there?
  39. 39.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹36 in all. How many ₹5 coins are there?
  40. 40.I think of a number, multiply it by 9 and then add 32. The answer is 302. What is my number?

Answer key

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

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