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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 144 · 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.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹2 more than a pencil. 2 pens and 2 pencils cost ₹16 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 5(x + 3) = 4x + 16. What is x?
  4. 4.11 × ? − 10 = 89
  5. 5.Kavya has 21 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  6. 6.Solve for x: 3(x + 6) = 2x + 20. What is x?
  7. 7.Solve for x: 5(x + 2) = 3x + 30. What is x?
  8. 8.6 × ? + 29 = 41
  9. 9.3 × ? + 8 = 74
  10. 10.I think of a number, multiply it by 9 and then add 40. The answer is 310. What is my number?
  11. 11.Solve for x: 8(x + 1) = 7x + 28. What is x?
  12. 12.3 × ? − 11 = 4
  13. 13.The length of a rectangle is 4 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  14. 14.9 × ? − 12 = 159
  15. 15.Solve for x: 6(x + 9) = 2x + 106. What is x?
  16. 16.The length of a rectangle is 9 m more than its breadth. Its perimeter is 102 m. What is its breadth (in m)?
  17. 17.A pen costs ₹9 more than a pencil. 4 pens and 7 pencils cost ₹234 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 7 and then take away 5. The answer is 23. What is my number?
  19. 19.Solve for x: 8(x + 3) = 3x + 119. What is x?
  20. 20.A pen costs ₹14 more than a pencil. 4 pens and 8 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  21. 21.A pen costs ₹6 more than a pencil. 3 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  23. 23.A pen costs ₹6 more than a pencil. 4 pens and 8 pencils cost ₹156 in all. What does one pencil cost (in ₹)?
  24. 24.7 × ? − 12 = 9
  25. 25.The length of a rectangle is 11 m more than its breadth. Its perimeter is 82 m. What is its breadth (in m)?
  26. 26.A pen costs ₹10 more than a pencil. 5 pens and 3 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  27. 27.I think of a number, multiply it by 5 and then take away 10. The answer is 100. What is my number?
  28. 28.12 × ? − 1 = 287
  29. 29.Priya has 28 coins, all ₹5 and ₹2 coins, worth ₹59 in all. How many ₹5 coins are there?
  30. 30.A pen costs ₹10 more than a pencil. 3 pens and 3 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  31. 31.8 × ? + 19 = 99
  32. 32.Solve for x: 4(x + 9) = x + 51. What is x?
  33. 33.The length of a rectangle is 14 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  34. 34.Solve for x: 4(x + 7) = 3x + 32. What is x?
  35. 35.Ananya has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  36. 36.A pen costs ₹4 more than a pencil. 4 pens and 8 pencils cost ₹160 in all. What does one pencil cost (in ₹)?
  37. 37.12 × ? − 17 = 187
  38. 38.Solve for x: 9(x + 7) = 3x + 123. What is x?
  39. 39.The length of a rectangle is 9 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  40. 40.A pen costs ₹11 more than a pencil. 6 pens and 6 pencils cost ₹234 in all. What does one pencil cost (in ₹)?

Answer key

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

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