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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 75 · 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 ₹5 more than a pencil. 5 pens and 2 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹120 in all. What does one pencil cost (in ₹)?
  3. 3.The length of a rectangle is 14 m more than its breadth. Its perimeter is 64 m. What is its breadth (in m)?
  4. 4.I think of a number, multiply it by 8 and then add 5. The answer is 133. What is my number?
  5. 5.I think of a number, multiply it by 3 and then add 11. The answer is 80. What is my number?
  6. 6.8 × ? − 12 = 172
  7. 7.Solve for x: 4(x + 1) = x + 55. What is x?
  8. 8.I think of a number, multiply it by 9 and then take away 38. The answer is 205. What is my number?
  9. 9.A pen costs ₹6 more than a pencil. 2 pens and 3 pencils cost ₹32 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹15 more than a pencil. 5 pens and 2 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 2 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  12. 12.Solve for x: 4(x + 3) = x + 66. What is x?
  13. 13.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹74 in all. What does one pencil cost (in ₹)?
  14. 14.12 × ? − 20 = 184
  15. 15.I think of a number, multiply it by 2 and then add 31. The answer is 69. What is my number?
  16. 16.I think of a number, multiply it by 2 and then take away 12. The answer is 48. What is my number?
  17. 17.Solve for x: 6(x + 2) = 2x + 40. What is x?
  18. 18.Solve for x: 3(x + 8) = 2x + 42. What is x?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  20. 20.The length of a rectangle is 3 m more than its breadth. Its perimeter is 18 m. What is its breadth (in m)?
  21. 21.A pen costs ₹2 more than a pencil. 2 pens and 6 pencils cost ₹60 in all. What does one pencil cost (in ₹)?
  22. 22.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  23. 23.I think of a number, multiply it by 3 and then take away 37. The answer is 44. What is my number?
  24. 24.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  25. 25.The length of a rectangle is 14 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  26. 26.I think of a number, multiply it by 3 and then take away 5. The answer is 1. What is my number?
  27. 27.I think of a number, multiply it by 3 and then add 8. The answer is 20. What is my number?
  28. 28.Kavya has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  29. 29.A pen costs ₹8 more than a pencil. 3 pens and 5 pencils cost ₹56 in all. What does one pencil cost (in ₹)?
  30. 30.2 × ? + 26 = 36
  31. 31.Pooja has 21 coins, all ₹5 and ₹2 coins, worth ₹102 in all. How many ₹5 coins are there?
  32. 32.Nisha has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  33. 33.A pen costs ₹10 more than a pencil. 2 pens and 2 pencils cost ₹48 in all. What does one pencil cost (in ₹)?
  34. 34.Solve for x: 9(x + 9) = 5x + 89. What is x?
  35. 35.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  36. 36.The length of a rectangle is 3 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  37. 37.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  38. 38.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹79 in all. What does one pencil cost (in ₹)?
  39. 39.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  40. 40.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹23 in all. How many ₹5 coins are there?

Answer key

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

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