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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 472 · 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.

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  1. 1.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 8 and then take away 2. The answer is 166. What is my number?
  3. 3.Solve for x: 5(x + 1) = x + 77. What is x?
  4. 4.A pen costs ₹8 more than a pencil. 3 pens and 6 pencils cost ₹186 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 27. The answer is 77. What is my number?
  6. 6.5 × ? − 28 = 12
  7. 7.I think of a number, multiply it by 8 and then take away 25. The answer is 95. What is my number?
  8. 8.7 × ? + 19 = 47
  9. 9.I think of a number, multiply it by 9 and then take away 24. The answer is 21. What is my number?
  10. 10.9 × ? + 29 = 236
  11. 11.Solve for x: 6(x + 1) = x + 76. What is x?
  12. 12.Solve for x: 8(x + 3) = 7x + 35. What is x?
  13. 13.Ishaan has 27 coins, all ₹5 and ₹2 coins, worth ₹117 in all. How many ₹5 coins are there?
  14. 14.The length of a rectangle is 15 m more than its breadth. Its perimeter is 146 m. What is its breadth (in m)?
  15. 15.Ananya has 12 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  16. 16.Solve for x: 6(x + 9) = 2x + 118. What is x?
  17. 17.I think of a number, multiply it by 6 and then add 22. The answer is 130. What is my number?
  18. 18.A pen costs ₹15 more than a pencil. 6 pens and 5 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  19. 19.A pen costs ₹4 more than a pencil. 5 pens and 4 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  20. 20.I think of a number, multiply it by 8 and then add 30. The answer is 238. What is my number?
  21. 21.A pen costs ₹15 more than a pencil. 2 pens and 8 pencils cost ₹170 in all. What does one pencil cost (in ₹)?
  22. 22.A pen costs ₹8 more than a pencil. 5 pens and 8 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  23. 23.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  24. 24.Kabir has 14 coins, all ₹5 and ₹2 coins, worth ₹64 in all. How many ₹5 coins are there?
  25. 25.7 × ? − 4 = 101
  26. 26.Solve for x: 7(x + 7) = 2x + 149. What is x?
  27. 27.I think of a number, multiply it by 9 and then add 2. The answer is 209. What is my number?
  28. 28.A pen costs ₹6 more than a pencil. 2 pens and 7 pencils cost ₹183 in all. What does one pencil cost (in ₹)?
  29. 29.The length of a rectangle is 5 m more than its breadth. Its perimeter is 66 m. What is its breadth (in m)?
  30. 30.Solve for x: 4(x + 2) = 2x + 32. What is x?
  31. 31.Solve for x: 3(x + 3) = x + 49. What is x?
  32. 32.I think of a number, multiply it by 8 and then take away 4. The answer is 132. What is my number?
  33. 33.Solve for x: 4(x + 7) = x + 82. What is x?
  34. 34.I think of a number, multiply it by 7 and then take away 38. The answer is 74. What is my number?
  35. 35.Solve for x: 7(x + 2) = 2x + 109. What is x?
  36. 36.Meera has 15 coins, all ₹5 and ₹2 coins, worth ₹45 in all. How many ₹5 coins are there?
  37. 37.6 × ? − 20 = 10
  38. 38.I think of a number, multiply it by 2 and then add 33. The answer is 63. What is my number?
  39. 39.Solve for x: 6(x + 5) = 4x + 62. What is x?
  40. 40.I think of a number, multiply it by 5 and then add 35. The answer is 60. What is my number?

Answer key

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

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