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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 794 · 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 9 m more than its breadth. Its perimeter is 78 m. What is its breadth (in m)?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  3. 3.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  4. 4.Aditya has 11 coins, all ₹5 and ₹2 coins, worth ₹49 in all. How many ₹5 coins are there?
  5. 5.Rohan has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  6. 6.I think of a number, multiply it by 5 and then take away 5. The answer is 140. What is my number?
  7. 7.A pen costs ₹4 more than a pencil. 4 pens and 3 pencils cost ₹149 in all. What does one pencil cost (in ₹)?
  8. 8.Karan has 28 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹7 more than a pencil. 2 pens and 3 pencils cost ₹49 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 4(x + 5) = x + 80. What is x?
  11. 11.A pen costs ₹9 more than a pencil. 6 pens and 6 pencils cost ₹222 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹7 more than a pencil. 2 pens and 2 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  13. 13.A pen costs ₹15 more than a pencil. 5 pens and 3 pencils cost ₹195 in all. What does one pencil cost (in ₹)?
  14. 14.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 2 and then take away 21. The answer is 27. What is my number?
  16. 16.I think of a number, multiply it by 3 and then take away 18. The answer is 15. What is my number?
  17. 17.Solve for x: 9(x + 9) = 3x + 129. What is x?
  18. 18.I think of a number, multiply it by 5 and then add 39. The answer is 54. What is my number?
  19. 19.11 × ? + 10 = 131
  20. 20.I think of a number, multiply it by 4 and then take away 6. The answer is 62. What is my number?
  21. 21.Solve for x: 6(x + 1) = 4x + 18. What is x?
  22. 22.Solve for x: 8(x + 3) = x + 73. What is x?
  23. 23.4 × ? − 19 = 13
  24. 24.Tara has 16 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹11 more than a pencil. 2 pens and 6 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  26. 26.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  27. 27.12 × ? − 26 = 58
  28. 28.Solve for x: 9(x + 8) = 4x + 97. What is x?
  29. 29.I think of a number, multiply it by 6 and then add 19. The answer is 91. What is my number?
  30. 30.I think of a number, multiply it by 3 and then take away 9. The answer is 33. What is my number?
  31. 31.I think of a number, multiply it by 8 and then take away 26. The answer is 206. What is my number?
  32. 32.Solve for x: 8(x + 8) = 2x + 118. What is x?
  33. 33.5 × ? − 17 = 3
  34. 34.A pen costs ₹4 more than a pencil. 5 pens and 2 pencils cost ₹97 in all. What does one pencil cost (in ₹)?
  35. 35.2 × ? + 8 = 40
  36. 36.I think of a number, multiply it by 5 and then take away 34. The answer is 91. What is my number?
  37. 37.I think of a number, multiply it by 7 and then take away 21. The answer is 63. What is my number?
  38. 38.A pen costs ₹2 more than a pencil. 3 pens and 3 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  39. 39.2 × ? − 1 = 47
  40. 40.I think of a number, multiply it by 9 and then add 24. The answer is 69. What is my number?

Answer key

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

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