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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 153 · 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 ₹12 more than a pencil. 3 pens and 2 pencils cost ₹136 in all. What does one pencil cost (in ₹)?
  2. 2.Isha has 17 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  3. 3.Solve for x: 3(x + 3) = x + 39. What is x?
  4. 4.Ishaan has 14 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  5. 5.6 × ? − 6 = 66
  6. 6.10 × ? − 4 = 36
  7. 7.A pen costs ₹6 more than a pencil. 3 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  8. 8.The length of a rectangle is 2 m more than its breadth. Its perimeter is 108 m. What is its breadth (in m)?
  9. 9.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  10. 10.A pen costs ₹10 more than a pencil. 6 pens and 5 pencils cost ₹137 in all. What does one pencil cost (in ₹)?
  11. 11.I think of a number, multiply it by 6 and then add 10. The answer is 130. What is my number?
  12. 12.I think of a number, multiply it by 3 and then add 26. The answer is 95. What is my number?
  13. 13.Kavya has 13 coins, all ₹5 and ₹2 coins, worth ₹38 in all. How many ₹5 coins are there?
  14. 14.Solve for x: 4(x + 6) = 3x + 35. What is x?
  15. 15.Solve for x: 7(x + 7) = 4x + 106. What is x?
  16. 16.A pen costs ₹13 more than a pencil. 2 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  17. 17.I think of a number, multiply it by 4 and then add 7. The answer is 95. What is my number?
  18. 18.I think of a number, multiply it by 6 and then take away 22. The answer is 68. What is my number?
  19. 19.The length of a rectangle is 2 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  20. 20.A pen costs ₹7 more than a pencil. 3 pens and 3 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  21. 21.I think of a number, multiply it by 8 and then add 18. The answer is 194. What is my number?
  22. 22.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹7 more than a pencil. 3 pens and 5 pencils cost ₹69 in all. What does one pencil cost (in ₹)?
  24. 24.The length of a rectangle is 2 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  26. 26.Solve for x: 3(x + 5) = 2x + 31. What is x?
  27. 27.9 × ? + 7 = 223
  28. 28.Solve for x: 7(x + 5) = 2x + 105. What is x?
  29. 29.The length of a rectangle is 14 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  30. 30.12 × ? − 5 = 235
  31. 31.I think of a number, multiply it by 8 and then take away 37. The answer is 107. What is my number?
  32. 32.I think of a number, multiply it by 7 and then take away 21. The answer is 147. What is my number?
  33. 33.I think of a number, multiply it by 3 and then add 1. The answer is 73. What is my number?
  34. 34.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹114 in all. What does one pencil cost (in ₹)?
  35. 35.I think of a number, multiply it by 9 and then take away 29. The answer is 16. What is my number?
  36. 36.I think of a number, multiply it by 6 and then take away 24. The answer is 84. What is my number?
  37. 37.Solve for x: 6(x + 3) = 2x + 38. What is x?
  38. 38.A pen costs ₹6 more than a pencil. 5 pens and 6 pencils cost ₹250 in all. What does one pencil cost (in ₹)?
  39. 39.3 × ? + 5 = 38
  40. 40.Solve for x: 4(x + 5) = 3x + 32. What is x?

Answer key

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

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