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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 834 · 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 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  2. 2.The length of a rectangle is 11 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  3. 3.A pen costs ₹8 more than a pencil. 4 pens and 7 pencils cost ₹230 in all. What does one pencil cost (in ₹)?
  4. 4.Solve for x: 7(x + 5) = 3x + 47. What is x?
  5. 5.2 × ? + 26 = 48
  6. 6.The length of a rectangle is 13 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  7. 7.A pen costs ₹3 more than a pencil. 4 pens and 7 pencils cost ₹232 in all. What does one pencil cost (in ₹)?
  8. 8.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  9. 9.Rahul has 24 coins, all ₹5 and ₹2 coins, worth ₹81 in all. How many ₹5 coins are there?
  10. 10.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  11. 11.8 × ? + 25 = 73
  12. 12.The length of a rectangle is 7 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  13. 13.I think of a number, multiply it by 4 and then add 30. The answer is 90. What is my number?
  14. 14.I think of a number, multiply it by 9 and then add 18. The answer is 45. What is my number?
  15. 15.The length of a rectangle is 4 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  16. 16.3 × ? + 5 = 14
  17. 17.Dev has 19 coins, all ₹5 and ₹2 coins, worth ₹68 in all. How many ₹5 coins are there?
  18. 18.Solve for x: 4(x + 3) = 3x + 25. What is x?
  19. 19.I think of a number, multiply it by 7 and then add 7. The answer is 63. What is my number?
  20. 20.The length of a rectangle is 14 m more than its breadth. Its perimeter is 148 m. What is its breadth (in m)?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 5 and then add 8. The answer is 113. What is my number?
  23. 23.9 × ? − 20 = 52
  24. 24.Kabir has 29 coins, all ₹5 and ₹2 coins, worth ₹94 in all. How many ₹5 coins are there?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 5 and then add 15. The answer is 90. What is my number?
  27. 27.A pen costs ₹15 more than a pencil. 4 pens and 4 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  28. 28.A pen costs ₹12 more than a pencil. 2 pens and 5 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  29. 29.3 × ? + 18 = 63
  30. 30.9 × ? − 1 = 197
  31. 31.Solve for x: 7(x + 5) = 2x + 105. What is x?
  32. 32.12 × ? + 13 = 205
  33. 33.12 × ? + 9 = 45
  34. 34.Solve for x: 4(x + 4) = x + 46. What is x?
  35. 35.The length of a rectangle is 9 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  36. 36.9 × ? + 9 = 162
  37. 37.I think of a number, multiply it by 4 and then add 12. The answer is 92. What is my number?
  38. 38.Ishaan has 26 coins, all ₹5 and ₹2 coins, worth ₹106 in all. How many ₹5 coins are there?
  39. 39.Solve for x: 9(x + 2) = x + 26. What is x?
  40. 40.Manav has 27 coins, all ₹5 and ₹2 coins, worth ₹120 in all. How many ₹5 coins are there?

Answer key

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

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