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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 749 · 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. 1.5 × ? − 20 = 75
  2. 2.Solve for x: 9(x + 3) = 2x + 83. What is x?
  3. 3.I think of a number, multiply it by 4 and then add 23. The answer is 87. What is my number?
  4. 4.The length of a rectangle is 10 m more than its breadth. Its perimeter is 100 m. What is its breadth (in m)?
  5. 5.Rohan has 22 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  6. 6.Nisha has 19 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹7 more than a pencil. 6 pens and 3 pencils cost ₹96 in all. What does one pencil cost (in ₹)?
  8. 8.8 × ? + 20 = 172
  9. 9.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹8 more than a pencil. 3 pens and 7 pencils cost ₹204 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then add 14. The answer is 68. What is my number?
  12. 12.Pooja has 15 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  13. 13.Solve for x: 5(x + 1) = 2x + 59. What is x?
  14. 14.The length of a rectangle is 3 m more than its breadth. Its perimeter is 106 m. What is its breadth (in m)?
  15. 15.Farhan has 16 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 8(x + 6) = 7x + 53. What is x?
  17. 17.I think of a number, multiply it by 5 and then take away 33. The answer is 97. What is my number?
  18. 18.11 × ? + 3 = 47
  19. 19.The length of a rectangle is 4 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  20. 20.Vivaan has 8 coins, all ₹5 and ₹2 coins, worth ₹19 in all. How many ₹5 coins are there?
  21. 21.12 × ? + 15 = 279
  22. 22.Kabir has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  23. 23.A pen costs ₹4 more than a pencil. 6 pens and 7 pencils cost ₹167 in all. What does one pencil cost (in ₹)?
  24. 24.I think of a number, multiply it by 3 and then take away 31. The answer is 32. What is my number?
  25. 25.Solve for x: 5(x + 8) = x + 56. What is x?
  26. 26.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  27. 27.8 × ? − 11 = 69
  28. 28.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹216 in all. What does one pencil cost (in ₹)?
  29. 29.3 × ? − 10 = 23
  30. 30.7 × ? − 10 = 32
  31. 31.I think of a number, multiply it by 5 and then add 39. The answer is 49. What is my number?
  32. 32.5 × ? + 20 = 135
  33. 33.Solve for x: 9(x + 7) = 7x + 97. What is x?
  34. 34.I think of a number, multiply it by 9 and then add 7. The answer is 178. What is my number?
  35. 35.I think of a number, multiply it by 3 and then take away 21. The answer is 24. What is my number?
  36. 36.Diya has 30 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  37. 37.Tara has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  38. 38.I think of a number, multiply it by 4 and then add 17. The answer is 25. What is my number?
  39. 39.A pen costs ₹14 more than a pencil. 4 pens and 3 pencils cost ₹182 in all. What does one pencil cost (in ₹)?
  40. 40.7 × ? − 28 = 56

Answer key

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

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