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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 839 · 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.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  2. 2.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  3. 3.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 4 and then take away 29. The answer is 51. What is my number?
  5. 5.8 × ? − 2 = 190
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  7. 7.Solve for x: 5(x + 6) = 4x + 45. What is x?
  8. 8.I think of a number, multiply it by 4 and then take away 3. The answer is 41. What is my number?
  9. 9.I think of a number, multiply it by 8 and then add 26. The answer is 138. What is my number?
  10. 10.Solve for x: 5(x + 7) = 3x + 39. What is x?
  11. 11.7 × ? + 17 = 115
  12. 12.I think of a number, multiply it by 3 and then take away 35. The answer is 34. What is my number?
  13. 13.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹70 in all. How many ₹5 coins are there?
  14. 14.I think of a number, multiply it by 5 and then take away 9. The answer is 131. What is my number?
  15. 15.I think of a number, multiply it by 5 and then take away 3. The answer is 52. What is my number?
  16. 16.The length of a rectangle is 11 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  17. 17.Ananya has 15 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  18. 18.Aarav has 12 coins, all ₹5 and ₹2 coins, worth ₹30 in all. How many ₹5 coins are there?
  19. 19.I think of a number, multiply it by 9 and then add 31. The answer is 193. What is my number?
  20. 20.Solve for x: 3(x + 4) = 2x + 16. What is x?
  21. 21.Solve for x: 8(x + 5) = 2x + 100. What is x?
  22. 22.The length of a rectangle is 4 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  23. 23.Tara has 20 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  24. 24.I think of a number, multiply it by 9 and then take away 36. The answer is 99. What is my number?
  25. 25.Kabir has 19 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  26. 26.The length of a rectangle is 3 m more than its breadth. Its perimeter is 98 m. What is its breadth (in m)?
  27. 27.A pen costs ₹11 more than a pencil. 5 pens and 2 pencils cost ₹181 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 2 and then take away 14. The answer is 42. What is my number?
  29. 29.10 × ? + 22 = 42
  30. 30.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  31. 31.9 × ? − 21 = 33
  32. 32.I think of a number, multiply it by 2 and then take away 32. The answer is 12. What is my number?
  33. 33.A pen costs ₹10 more than a pencil. 6 pens and 4 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  34. 34.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  35. 35.Solve for x: 8(x + 6) = 7x + 68. What is x?
  36. 36.Solve for x: 6(x + 7) = 5x + 51. What is x?
  37. 37.Diya has 29 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 2 and then add 7. The answer is 13. What is my number?
  39. 39.Priya has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  40. 40.Solve for x: 8(x + 2) = x + 114. What is x?

Answer key

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

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