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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 861 · 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. 3 pens and 7 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  2. 2.I think of a number, multiply it by 7 and then add 38. The answer is 241. What is my number?
  3. 3.The length of a rectangle is 4 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  4. 4.A pen costs ₹6 more than a pencil. 2 pens and 2 pencils cost ₹28 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  6. 6.2 × ? + 20 = 36
  7. 7.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹124 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 3 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  9. 9.Solve for x: 3(x + 8) = x + 50. What is x?
  10. 10.A pen costs ₹5 more than a pencil. 3 pens and 5 pencils cost ₹119 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 4(x + 2) = 2x + 36. What is x?
  13. 13.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹161 in all. What does one pencil cost (in ₹)?
  14. 14.A pen costs ₹2 more than a pencil. 6 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  15. 15.Pooja has 10 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  16. 16.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  17. 17.A pen costs ₹2 more than a pencil. 2 pens and 5 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 4 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  20. 20.Karan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  21. 21.Aditya has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹224 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 5 and then add 37. The answer is 157. What is my number?
  24. 24.2 × ? − 4 = 38
  25. 25.I think of a number, multiply it by 8 and then take away 38. The answer is 2. What is my number?
  26. 26.I think of a number, multiply it by 6 and then take away 2. The answer is 112. What is my number?
  27. 27.Solve for x: 6(x + 4) = 2x + 92. What is x?
  28. 28.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹205 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹67 in all. What does one pencil cost (in ₹)?
  30. 30.The length of a rectangle is 9 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  31. 31.The length of a rectangle is 5 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  32. 32.I think of a number, multiply it by 2 and then add 33. The answer is 77. What is my number?
  33. 33.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  34. 34.Meera has 18 coins, all ₹5 and ₹2 coins, worth ₹87 in all. How many ₹5 coins are there?
  35. 35.5 × ? + 26 = 76
  36. 36.I think of a number, multiply it by 5 and then take away 8. The answer is 57. What is my number?
  37. 37.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  38. 38.A pen costs ₹8 more than a pencil. 4 pens and 3 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  40. 40.5 × ? − 24 = 11

Answer key

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

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