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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 543 · 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 11 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  2. 2.A pen costs ₹5 more than a pencil. 4 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 8 and then add 23. The answer is 167. What is my number?
  4. 4.A pen costs ₹10 more than a pencil. 4 pens and 6 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  5. 5.The length of a rectangle is 5 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  6. 6.A pen costs ₹11 more than a pencil. 4 pens and 6 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  7. 7.I think of a number, multiply it by 5 and then take away 4. The answer is 71. What is my number?
  8. 8.A pen costs ₹10 more than a pencil. 4 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  9. 9.I think of a number, multiply it by 4 and then add 5. The answer is 41. What is my number?
  10. 10.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  11. 11.I think of a number, multiply it by 5 and then take away 9. The answer is 11. What is my number?
  12. 12.12 × ? − 8 = 64
  13. 13.A pen costs ₹9 more than a pencil. 2 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  14. 14.Solve for x: 5(x + 8) = x + 116. What is x?
  15. 15.2 × ? − 1 = 27
  16. 16.I think of a number, multiply it by 3 and then add 10. The answer is 34. What is my number?
  17. 17.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹109 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  19. 19.I think of a number, multiply it by 4 and then add 15. The answer is 23. What is my number?
  20. 20.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  21. 21.8 × ? − 18 = 182
  22. 22.Farhan has 17 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  23. 23.Karan has 21 coins, all ₹5 and ₹2 coins, worth ₹63 in all. How many ₹5 coins are there?
  24. 24.Solve for x: 4(x + 2) = x + 47. What is x?
  25. 25.A pen costs ₹11 more than a pencil. 5 pens and 7 pencils cost ₹103 in all. What does one pencil cost (in ₹)?
  26. 26.I think of a number, multiply it by 8 and then add 32. The answer is 168. What is my number?
  27. 27.Kavya has 11 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  28. 28.The length of a rectangle is 13 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  29. 29.The length of a rectangle is 3 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  30. 30.Tara has 30 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  31. 31.A pen costs ₹13 more than a pencil. 5 pens and 3 pencils cost ₹113 in all. What does one pencil cost (in ₹)?
  32. 32.A pen costs ₹2 more than a pencil. 6 pens and 8 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  33. 33.I think of a number, multiply it by 4 and then add 38. The answer is 94. What is my number?
  34. 34.I think of a number, multiply it by 3 and then take away 40. The answer is 11. What is my number?
  35. 35.9 × ? − 25 = 38
  36. 36.3 × ? + 15 = 48
  37. 37.Solve for x: 3(x + 4) = x + 18. What is x?
  38. 38.I think of a number, multiply it by 9 and then add 19. The answer is 91. What is my number?
  39. 39.Solve for x: 7(x + 9) = 5x + 67. What is x?
  40. 40.Solve for x: 3(x + 1) = 2x + 4. What is x?

Answer key

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

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