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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 598 · 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.Solve for x: 9(x + 1) = 3x + 99. What is x?
  2. 2.A pen costs ₹8 more than a pencil. 2 pens and 2 pencils cost ₹84 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 8 m more than its breadth. Its perimeter is 120 m. What is its breadth (in m)?
  4. 4.10 × ? + 17 = 77
  5. 5.I think of a number, multiply it by 3 and then add 14. The answer is 98. What is my number?
  6. 6.Pooja has 20 coins, all ₹5 and ₹2 coins, worth ₹67 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹11 more than a pencil. 3 pens and 2 pencils cost ₹123 in all. What does one pencil cost (in ₹)?
  8. 8.Isha has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  9. 9.Solve for x: 3(x + 3) = x + 35. What is x?
  10. 10.A pen costs ₹15 more than a pencil. 2 pens and 5 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 13 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?
  12. 12.I think of a number, multiply it by 9 and then add 9. The answer is 234. What is my number?
  13. 13.Arjun has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 7 and then add 27. The answer is 90. What is my number?
  15. 15.A pen costs ₹14 more than a pencil. 3 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  16. 16.I think of a number, multiply it by 6 and then add 4. The answer is 178. What is my number?
  17. 17.I think of a number, multiply it by 6 and then add 31. The answer is 55. What is my number?
  18. 18.I think of a number, multiply it by 3 and then add 21. The answer is 66. What is my number?
  19. 19.9 × ? + 30 = 93
  20. 20.A pen costs ₹4 more than a pencil. 4 pens and 7 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 2 and then take away 1. The answer is 17. What is my number?
  22. 22.Solve for x: 6(x + 5) = 5x + 43. What is x?
  23. 23.The length of a rectangle is 3 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 7 and then take away 2. The answer is 159. What is my number?
  25. 25.12 × ? − 16 = 32
  26. 26.I think of a number, multiply it by 5 and then add 11. The answer is 141. What is my number?
  27. 27.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  28. 28.3 × ? + 21 = 66
  29. 29.11 × ? + 15 = 59
  30. 30.The length of a rectangle is 12 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  31. 31.I think of a number, multiply it by 3 and then add 21. The answer is 45. What is my number?
  32. 32.3 × ? − 11 = 40
  33. 33.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  34. 34.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹109 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹169 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 9. The answer is 21. What is my number?
  37. 37.7 × ? + 17 = 31
  38. 38.I think of a number, multiply it by 2 and then add 17. The answer is 55. What is my number?
  39. 39.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  40. 40.Rohan has 30 coins, all ₹5 and ₹2 coins, worth ₹138 in all. How many ₹5 coins are there?

Answer key

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

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