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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 551 · 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.Vivaan has 20 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 4 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 5 and then take away 11. The answer is 79. What is my number?
  5. 5.Solve for x: 9(x + 3) = 5x + 95. What is x?
  6. 6.Kabir has 20 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹5 more than a pencil. 2 pens and 8 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  8. 8.Farhan has 23 coins, all ₹5 and ₹2 coins, worth ₹97 in all. How many ₹5 coins are there?
  9. 9.9 × ? − 28 = 134
  10. 10.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 2 and then add 8. The answer is 68. What is my number?
  12. 12.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  13. 13.3 × ? − 15 = 48
  14. 14.Kavya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 3 and then add 14. The answer is 62. What is my number?
  16. 16.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  18. 18.Aditya has 9 coins, all ₹5 and ₹2 coins, worth ₹21 in all. How many ₹5 coins are there?
  19. 19.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹3 more than a pencil. 6 pens and 7 pencils cost ₹265 in all. What does one pencil cost (in ₹)?
  21. 21.Solve for x: 3(x + 1) = x + 33. What is x?
  22. 22.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹133 in all. What does one pencil cost (in ₹)?
  23. 23.9 × ? − 23 = 13
  24. 24.I think of a number, multiply it by 3 and then add 6. The answer is 12. What is my number?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 112 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 4 and then take away 36. The answer is 84. What is my number?
  27. 27.Nisha has 30 coins, all ₹5 and ₹2 coins, worth ₹105 in all. How many ₹5 coins are there?
  28. 28.A pen costs ₹12 more than a pencil. 5 pens and 3 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹5 more than a pencil. 4 pens and 6 pencils cost ₹210 in all. What does one pencil cost (in ₹)?
  30. 30.6 × ? − 8 = 4
  31. 31.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹134 in all. What does one pencil cost (in ₹)?
  32. 32.The length of a rectangle is 8 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  33. 33.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 9(x + 9) = 8x + 83. What is x?
  35. 35.Meera has 25 coins, all ₹5 and ₹2 coins, worth ₹119 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹9 more than a pencil. 6 pens and 8 pencils cost ₹152 in all. What does one pencil cost (in ₹)?
  37. 37.A pen costs ₹8 more than a pencil. 6 pens and 7 pencils cost ₹100 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 10 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  39. 39.I think of a number, multiply it by 8 and then take away 7. The answer is 57. What is my number?
  40. 40.I think of a number, multiply it by 9 and then take away 23. The answer is 202. What is my number?

Answer key

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

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