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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 905 · 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.Aarav has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 8 and then take away 1. The answer is 175. What is my number?
  3. 3.11 × ? − 3 = 30
  4. 4.3 × ? + 20 = 89
  5. 5.The length of a rectangle is 14 m more than its breadth. Its perimeter is 92 m. What is its breadth (in m)?
  6. 6.A pen costs ₹9 more than a pencil. 5 pens and 6 pencils cost ₹111 in all. What does one pencil cost (in ₹)?
  7. 7.Dev has 26 coins, all ₹5 and ₹2 coins, worth ₹115 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 4(x + 6) = 3x + 31. What is x?
  9. 9.I think of a number, multiply it by 2 and then add 10. The answer is 18. What is my number?
  10. 10.10 × ? + 26 = 116
  11. 11.Rohan has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  12. 12.8 × ? + 4 = 140
  13. 13.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  15. 15.The length of a rectangle is 5 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  16. 16.Solve for x: 9(x + 7) = x + 191. What is x?
  17. 17.Solve for x: 4(x + 8) = x + 35. What is x?
  18. 18.Meera has 28 coins, all ₹5 and ₹2 coins, worth ₹101 in all. How many ₹5 coins are there?
  19. 19.11 × ? − 10 = 144
  20. 20.Ishaan has 25 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  21. 21.I think of a number, multiply it by 4 and then take away 29. The answer is 83. What is my number?
  22. 22.I think of a number, multiply it by 4 and then add 19. The answer is 27. What is my number?
  23. 23.I think of a number, multiply it by 6 and then add 4. The answer is 148. What is my number?
  24. 24.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹102 in all. What does one pencil cost (in ₹)?
  25. 25.Solve for x: 7(x + 1) = 4x + 22. What is x?
  26. 26.7 × ? − 15 = 90
  27. 27.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹55 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 9 and then add 38. The answer is 191. What is my number?
  29. 29.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  30. 30.I think of a number, multiply it by 5 and then take away 9. The answer is 36. What is my number?
  31. 31.A pen costs ₹6 more than a pencil. 6 pens and 8 pencils cost ₹274 in all. What does one pencil cost (in ₹)?
  32. 32.I think of a number, multiply it by 3 and then add 32. The answer is 110. What is my number?
  33. 33.Priya has 24 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 3 and then add 33. The answer is 111. What is my number?
  35. 35.Solve for x: 5(x + 9) = 2x + 84. What is x?
  36. 36.Ishaan has 8 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  37. 37.I think of a number, multiply it by 2 and then take away 6. The answer is 26. What is my number?
  38. 38.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  39. 39.I think of a number, multiply it by 3 and then add 31. The answer is 43. What is my number?
  40. 40.Priya has 20 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?

Answer key

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

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