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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 973 · 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. 1.9 × ? − 12 = 33
  2. 2.I think of a number, multiply it by 8 and then add 40. The answer is 208. What is my number?
  3. 3.Rahul has 15 coins, all ₹5 and ₹2 coins, worth ₹51 in all. How many ₹5 coins are there?
  4. 4.6 × ? − 13 = 17
  5. 5.The length of a rectangle is 8 m more than its breadth. Its perimeter is 40 m. What is its breadth (in m)?
  6. 6.Solve for x: 5(x + 8) = 3x + 76. What is x?
  7. 7.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  8. 8.A pen costs ₹15 more than a pencil. 5 pens and 5 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  9. 9.Solve for x: 5(x + 9) = 2x + 75. What is x?
  10. 10.A pen costs ₹7 more than a pencil. 3 pens and 6 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  11. 11.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹56 in all. How many ₹5 coins are there?
  12. 12.I think of a number, multiply it by 5 and then take away 2. The answer is 138. What is my number?
  13. 13.The length of a rectangle is 3 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  14. 14.Ananya has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?
  15. 15.I think of a number, multiply it by 8 and then add 33. The answer is 241. What is my number?
  16. 16.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  17. 17.I think of a number, multiply it by 7 and then take away 28. The answer is 140. What is my number?
  18. 18.A pen costs ₹8 more than a pencil. 4 pens and 2 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  19. 19.7 × ? − 19 = 23
  20. 20.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 3 and then take away 28. The answer is 14. What is my number?
  22. 22.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  24. 24.Tara has 23 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  25. 25.3 × ? − 17 = 52
  26. 26.I think of a number, multiply it by 3 and then add 24. The answer is 102. What is my number?
  27. 27.I think of a number, multiply it by 9 and then add 22. The answer is 49. What is my number?
  28. 28.A pen costs ₹3 more than a pencil. 3 pens and 6 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 7 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 3 and then take away 18. The answer is 51. What is my number?
  31. 31.I think of a number, multiply it by 4 and then add 17. The answer is 65. What is my number?
  32. 32.The length of a rectangle is 10 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  33. 33.Solve for x: 9(x + 2) = 7x + 56. What is x?
  34. 34.Kabir has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹11 more than a pencil. 3 pens and 6 pencils cost ₹78 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 5 and then add 38. The answer is 143. What is my number?
  37. 37.I think of a number, multiply it by 8 and then add 24. The answer is 120. What is my number?
  38. 38.Solve for x: 6(x + 7) = x + 77. What is x?
  39. 39.Rahul has 25 coins, all ₹5 and ₹2 coins, worth ₹53 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹11 more than a pencil. 5 pens and 6 pencils cost ₹231 in all. What does one pencil cost (in ₹)?

Answer key

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

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