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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 992 · 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.Sneha has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 8(x + 3) = 2x + 138. What is x?
  3. 3.8 × ? + 15 = 47
  4. 4.A pen costs ₹6 more than a pencil. 5 pens and 3 pencils cost ₹174 in all. What does one pencil cost (in ₹)?
  5. 5.A pen costs ₹10 more than a pencil. 2 pens and 8 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  6. 6.11 × ? + 4 = 202
  7. 7.The length of a rectangle is 6 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  8. 8.2 × ? + 24 = 44
  9. 9.5 × ? − 15 = 40
  10. 10.The length of a rectangle is 11 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  11. 11.4 × ? + 12 = 24
  12. 12.The length of a rectangle is 14 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  13. 13.Aarav has 22 coins, all ₹5 and ₹2 coins, worth ₹77 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 3(x + 9) = 2x + 39. What is x?
  15. 15.I think of a number, multiply it by 9 and then take away 8. The answer is 109. What is my number?
  16. 16.7 × ? + 22 = 57
  17. 17.The length of a rectangle is 8 m more than its breadth. Its perimeter is 52 m. What is its breadth (in m)?
  18. 18.The length of a rectangle is 3 m more than its breadth. Its perimeter is 50 m. What is its breadth (in m)?
  19. 19.Solve for x: 6(x + 7) = 4x + 68. What is x?
  20. 20.7 × ? − 11 = 10
  21. 21.I think of a number, multiply it by 2 and then take away 5. The answer is 53. What is my number?
  22. 22.A pen costs ₹15 more than a pencil. 6 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 3 and then add 6. The answer is 39. What is my number?
  24. 24.11 × ? + 9 = 207
  25. 25.11 × ? + 3 = 47
  26. 26.A pen costs ₹9 more than a pencil. 3 pens and 8 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  27. 27.A pen costs ₹5 more than a pencil. 5 pens and 2 pencils cost ₹88 in all. What does one pencil cost (in ₹)?
  28. 28.I think of a number, multiply it by 8 and then add 18. The answer is 98. What is my number?
  29. 29.Solve for x: 6(x + 1) = 3x + 66. What is x?
  30. 30.Solve for x: 6(x + 2) = 5x + 20. What is x?
  31. 31.10 × ? + 16 = 46
  32. 32.A pen costs ₹15 more than a pencil. 2 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  33. 33.Diya has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  34. 34.A pen costs ₹12 more than a pencil. 2 pens and 7 pencils cost ₹105 in all. What does one pencil cost (in ₹)?
  35. 35.11 × ? − 9 = 35
  36. 36.The length of a rectangle is 2 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  37. 37.Aditya has 16 coins, all ₹5 and ₹2 coins, worth ₹50 in all. How many ₹5 coins are there?
  38. 38.7 × ? − 6 = 141
  39. 39.Aditya has 18 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  40. 40.A pen costs ₹14 more than a pencil. 6 pens and 6 pencils cost ₹168 in all. What does one pencil cost (in ₹)?

Answer key

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

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