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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 68 · 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 ₹14 more than a pencil. 6 pens and 3 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  2. 2.Vivaan has 26 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 9 and then take away 36. The answer is 153. What is my number?
  4. 4.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 4 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  6. 6.2 × ? − 2 = 42
  7. 7.A pen costs ₹15 more than a pencil. 3 pens and 4 pencils cost ₹129 in all. What does one pencil cost (in ₹)?
  8. 8.Ishaan has 18 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  9. 9.2 × ? − 24 = 26
  10. 10.Solve for x: 8(x + 9) = 2x + 90. What is x?
  11. 11.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  12. 12.Karan has 29 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  13. 13.I think of a number, multiply it by 6 and then add 35. The answer is 77. What is my number?
  14. 14.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  15. 15.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  16. 16.A pen costs ₹5 more than a pencil. 3 pens and 8 pencils cost ₹213 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹10 more than a pencil. 6 pens and 3 pencils cost ₹168 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 4 and then add 39. The answer is 59. What is my number?
  19. 19.I think of a number, multiply it by 6 and then add 21. The answer is 33. What is my number?
  20. 20.Solve for x: 4(x + 3) = x + 51. What is x?
  21. 21.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  22. 22.Solve for x: 6(x + 6) = 3x + 48. What is x?
  23. 23.I think of a number, multiply it by 4 and then add 12. The answer is 32. What is my number?
  24. 24.Zoya has 8 coins, all ₹5 and ₹2 coins, worth ₹22 in all. How many ₹5 coins are there?
  25. 25.Vivaan has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  26. 26.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  27. 27.Saanvi has 22 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  28. 28.I think of a number, multiply it by 8 and then take away 12. The answer is 4. What is my number?
  29. 29.7 × ? + 17 = 31
  30. 30.I think of a number, multiply it by 8 and then add 15. The answer is 103. What is my number?
  31. 31.6 × ? + 2 = 122
  32. 32.12 × ? − 2 = 106
  33. 33.10 × ? − 4 = 96
  34. 34.A pen costs ₹12 more than a pencil. 6 pens and 7 pencils cost ₹254 in all. What does one pencil cost (in ₹)?
  35. 35.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  36. 36.Zoya has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 9 and then take away 38. The answer is 106. What is my number?
  38. 38.The length of a rectangle is 15 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 5 and then add 8. The answer is 108. What is my number?
  40. 40.I think of a number, multiply it by 6 and then take away 3. The answer is 111. What is my number?

Answer key

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

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