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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 719 · 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 ₹4 more than a pencil. 6 pens and 8 pencils cost ₹304 in all. What does one pencil cost (in ₹)?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 13 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 3 and then take away 21. The answer is 30. What is my number?
  5. 5.A pen costs ₹5 more than a pencil. 3 pens and 4 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  6. 6.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹150 in all. What does one pencil cost (in ₹)?
  7. 7.Solve for x: 9(x + 6) = x + 86. What is x?
  8. 8.9 × ? + 20 = 146
  9. 9.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  10. 10.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  11. 11.Rahul has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  12. 12.Dev has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  13. 13.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹130 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 6 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  15. 15.A pen costs ₹13 more than a pencil. 3 pens and 7 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 7(x + 5) = 5x + 73. What is x?
  17. 17.The length of a rectangle is 15 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 3 and then add 5. The answer is 26. What is my number?
  19. 19.Solve for x: 9(x + 2) = 7x + 26. What is x?
  20. 20.Solve for x: 7(x + 7) = 3x + 69. What is x?
  21. 21.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  22. 22.The length of a rectangle is 14 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  23. 23.A pen costs ₹14 more than a pencil. 6 pens and 7 pencils cost ₹292 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 4(x + 2) = x + 26. What is x?
  25. 25.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹13 more than a pencil. 4 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹242 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹14 more than a pencil. 2 pens and 4 pencils cost ₹118 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 108 m. What is its breadth (in m)?
  30. 30.The length of a rectangle is 7 m more than its breadth. Its perimeter is 70 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 5 and then take away 24. The answer is 116. What is my number?
  32. 32.Solve for x: 4(x + 2) = x + 50. What is x?
  33. 33.Saanvi has 13 coins, all ₹5 and ₹2 coins, worth ₹29 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 3(x + 5) = x + 21. What is x?
  35. 35.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹76 in all. What does one pencil cost (in ₹)?
  36. 36.Rahul has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  37. 37.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 4 and then add 6. The answer is 126. What is my number?
  39. 39.I think of a number, multiply it by 6 and then take away 24. The answer is 132. What is my number?
  40. 40.2 × ? + 24 = 46

Answer key

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

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