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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 707 · 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.Solve for x: 3(x + 6) = x + 30. What is x?
  2. 2.Pooja has 11 coins, all ₹5 and ₹2 coins, worth ₹43 in all. How many ₹5 coins are there?
  3. 3.I think of a number, multiply it by 8 and then take away 8. The answer is 48. What is my number?
  4. 4.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 21. The answer is 106. What is my number?
  6. 6.I think of a number, multiply it by 8 and then add 40. The answer is 120. What is my number?
  7. 7.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  8. 8.A pen costs ₹12 more than a pencil. 2 pens and 2 pencils cost ₹80 in all. What does one pencil cost (in ₹)?
  9. 9.11 × ? − 19 = 179
  10. 10.Ananya has 13 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  11. 11.A pen costs ₹15 more than a pencil. 3 pens and 3 pencils cost ₹135 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹14 more than a pencil. 4 pens and 6 pencils cost ₹236 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 3(x + 2) = x + 30. What is x?
  14. 14.I think of a number, multiply it by 3 and then take away 21. The answer is 12. What is my number?
  15. 15.A pen costs ₹6 more than a pencil. 4 pens and 4 pencils cost ₹176 in all. What does one pencil cost (in ₹)?
  16. 16.Solve for x: 9(x + 8) = 5x + 88. What is x?
  17. 17.The length of a rectangle is 3 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  18. 18.6 × ? + 6 = 36
  19. 19.I think of a number, multiply it by 5 and then add 7. The answer is 57. What is my number?
  20. 20.Vivaan has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  21. 21.10 × ? + 10 = 170
  22. 22.Solve for x: 7(x + 7) = 6x + 52. What is x?
  23. 23.I think of a number, multiply it by 6 and then take away 5. The answer is 115. What is my number?
  24. 24.I think of a number, multiply it by 5 and then take away 17. The answer is 118. What is my number?
  25. 25.A pen costs ₹3 more than a pencil. 2 pens and 3 pencils cost ₹46 in all. What does one pencil cost (in ₹)?
  26. 26.Zoya has 25 coins, all ₹5 and ₹2 coins, worth ₹110 in all. How many ₹5 coins are there?
  27. 27.I think of a number, multiply it by 2 and then take away 7. The answer is 11. What is my number?
  28. 28.I think of a number, multiply it by 2 and then add 16. The answer is 34. What is my number?
  29. 29.I think of a number, multiply it by 3 and then add 1. The answer is 37. What is my number?
  30. 30.Karan has 30 coins, all ₹5 and ₹2 coins, worth ₹75 in all. How many ₹5 coins are there?
  31. 31.Solve for x: 9(x + 3) = 3x + 141. What is x?
  32. 32.Aarav has 26 coins, all ₹5 and ₹2 coins, worth ₹124 in all. How many ₹5 coins are there?
  33. 33.2 × ? + 24 = 36
  34. 34.A pen costs ₹11 more than a pencil. 6 pens and 2 pencils cost ₹162 in all. What does one pencil cost (in ₹)?
  35. 35.The length of a rectangle is 15 m more than its breadth. Its perimeter is 142 m. What is its breadth (in m)?
  36. 36.8 × ? − 11 = 173
  37. 37.A pen costs ₹3 more than a pencil. 5 pens and 7 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  38. 38.The length of a rectangle is 2 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  39. 39.The length of a rectangle is 5 m more than its breadth. Its perimeter is 30 m. What is its breadth (in m)?
  40. 40.Priya has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?

Answer key

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

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