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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 494 · 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.The length of a rectangle is 3 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  2. 2.A pen costs ₹13 more than a pencil. 3 pens and 4 pencils cost ₹179 in all. What does one pencil cost (in ₹)?
  3. 3.A pen costs ₹3 more than a pencil. 6 pens and 6 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  4. 4.12 × ? − 2 = 94
  5. 5.The length of a rectangle is 15 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  6. 6.Solve for x: 4(x + 4) = 3x + 17. What is x?
  7. 7.2 × ? + 19 = 23
  8. 8.The length of a rectangle is 8 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  9. 9.I think of a number, multiply it by 5 and then add 12. The answer is 57. What is my number?
  10. 10.A pen costs ₹14 more than a pencil. 5 pens and 7 pencils cost ₹262 in all. What does one pencil cost (in ₹)?
  11. 11.Solve for x: 3(x + 7) = 2x + 22. What is x?
  12. 12.3 × ? + 26 = 44
  13. 13.12 × ? + 8 = 140
  14. 14.Solve for x: 8(x + 4) = 2x + 110. What is x?
  15. 15.I think of a number, multiply it by 9 and then add 15. The answer is 177. What is my number?
  16. 16.11 × ? + 5 = 71
  17. 17.A pen costs ₹4 more than a pencil. 5 pens and 8 pencils cost ₹85 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  19. 19.Aarav has 18 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  20. 20.The length of a rectangle is 8 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  21. 21.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  22. 22.Karan has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  23. 23.2 × ? + 9 = 29
  24. 24.A pen costs ₹4 more than a pencil. 3 pens and 5 pencils cost ₹52 in all. What does one pencil cost (in ₹)?
  25. 25.A pen costs ₹12 more than a pencil. 3 pens and 7 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 6 and then add 27. The answer is 189. What is my number?
  27. 27.Nisha has 10 coins, all ₹5 and ₹2 coins, worth ₹32 in all. How many ₹5 coins are there?
  28. 28.Aarav has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  29. 29.Solve for x: 3(x + 9) = x + 35. What is x?
  30. 30.I think of a number, multiply it by 8 and then add 20. The answer is 204. What is my number?
  31. 31.8 × ? + 4 = 132
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 130 m. What is its breadth (in m)?
  33. 33.3 × ? + 6 = 57
  34. 34.Solve for x: 5(x + 3) = 3x + 53. What is x?
  35. 35.11 × ? + 20 = 295
  36. 36.7 × ? − 10 = 81
  37. 37.Solve for x: 4(x + 2) = x + 44. What is x?
  38. 38.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹155 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 6 and then add 12. The answer is 42. What is my number?
  40. 40.11 × ? − 3 = 74

Answer key

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

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