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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 638 · 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.Aditya has 30 coins, all ₹5 and ₹2 coins, worth ₹135 in all. How many ₹5 coins are there?
  2. 2.A pen costs ₹12 more than a pencil. 4 pens and 8 pencils cost ₹228 in all. What does one pencil cost (in ₹)?
  3. 3.I think of a number, multiply it by 2 and then add 32. The answer is 46. What is my number?
  4. 4.A pen costs ₹11 more than a pencil. 3 pens and 5 pencils cost ₹89 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹3 more than a pencil. 4 pens and 2 pencils cost ₹36 in all. What does one pencil cost (in ₹)?
  6. 6.Vivaan has 25 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  7. 7.I think of a number, multiply it by 5 and then add 28. The answer is 43. What is my number?
  8. 8.2 × ? + 28 = 78
  9. 9.A pen costs ₹11 more than a pencil. 3 pens and 8 pencils cost ₹187 in all. What does one pencil cost (in ₹)?
  10. 10.Solve for x: 4(x + 7) = 2x + 56. What is x?
  11. 11.5 × ? − 10 = 65
  12. 12.I think of a number, multiply it by 4 and then take away 9. The answer is 87. What is my number?
  13. 13.A pen costs ₹5 more than a pencil. 6 pens and 2 pencils cost ₹166 in all. What does one pencil cost (in ₹)?
  14. 14.I think of a number, multiply it by 5 and then take away 27. The answer is 113. What is my number?
  15. 15.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  16. 16.I think of a number, multiply it by 8 and then add 33. The answer is 97. What is my number?
  17. 17.I think of a number, multiply it by 5 and then add 16. The answer is 81. What is my number?
  18. 18.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  19. 19.8 × ? + 25 = 105
  20. 20.11 × ? − 2 = 108
  21. 21.The length of a rectangle is 10 m more than its breadth. Its perimeter is 80 m. What is its breadth (in m)?
  22. 22.Nisha has 16 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  23. 23.I think of a number, multiply it by 5 and then take away 9. The answer is 86. What is my number?
  24. 24.Rahul has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 5 and then add 7. The answer is 97. What is my number?
  26. 26.I think of a number, multiply it by 3 and then add 17. The answer is 44. What is my number?
  27. 27.I think of a number, multiply it by 2 and then take away 1. The answer is 17. What is my number?
  28. 28.12 × ? + 5 = 269
  29. 29.Solve for x: 3(x + 6) = 2x + 23. What is x?
  30. 30.I think of a number, multiply it by 6 and then add 28. The answer is 94. What is my number?
  31. 31.A pen costs ₹14 more than a pencil. 4 pens and 5 pencils cost ₹209 in all. What does one pencil cost (in ₹)?
  32. 32.11 × ? + 6 = 182
  33. 33.Solve for x: 9(x + 4) = 2x + 169. What is x?
  34. 34.I think of a number, multiply it by 5 and then add 26. The answer is 56. What is my number?
  35. 35.I think of a number, multiply it by 3 and then take away 2. The answer is 7. What is my number?
  36. 36.A pen costs ₹2 more than a pencil. 6 pens and 7 pencils cost ₹207 in all. What does one pencil cost (in ₹)?
  37. 37.Rohan has 25 coins, all ₹5 and ₹2 coins, worth ₹116 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 7 and then take away 25. The answer is 80. What is my number?
  39. 39.I think of a number, multiply it by 3 and then take away 2. The answer is 28. What is my number?
  40. 40.I think of a number, multiply it by 7 and then add 15. The answer is 50. What is my number?

Answer key

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

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