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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 130 · 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. 4 pens and 8 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹13 more than a pencil. 2 pens and 2 pencils cost ₹90 in all. What does one pencil cost (in ₹)?
  3. 3.Priya has 11 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  4. 4.Aditya has 20 coins, all ₹5 and ₹2 coins, worth ₹91 in all. How many ₹5 coins are there?
  5. 5.9 × ? + 6 = 186
  6. 6.10 × ? − 10 = 110
  7. 7.I think of a number, multiply it by 6 and then add 1. The answer is 49. What is my number?
  8. 8.Solve for x: 5(x + 8) = x + 80. What is x?
  9. 9.Solve for x: 7(x + 9) = 3x + 123. What is x?
  10. 10.I think of a number, multiply it by 8 and then add 26. The answer is 194. What is my number?
  11. 11.I think of a number, multiply it by 9 and then add 22. The answer is 211. What is my number?
  12. 12.10 × ? + 1 = 91
  13. 13.Solve for x: 4(x + 6) = x + 54. What is x?
  14. 14.12 × ? + 22 = 226
  15. 15.Vivaan has 30 coins, all ₹5 and ₹2 coins, worth ₹144 in all. How many ₹5 coins are there?
  16. 16.2 × ? + 14 = 30
  17. 17.The length of a rectangle is 12 m more than its breadth. Its perimeter is 96 m. What is its breadth (in m)?
  18. 18.Solve for x: 5(x + 8) = 4x + 41. What is x?
  19. 19.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹53 in all. What does one pencil cost (in ₹)?
  20. 20.Solve for x: 5(x + 9) = 4x + 60. What is x?
  21. 21.A pen costs ₹7 more than a pencil. 3 pens and 7 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  22. 22.Solve for x: 3(x + 2) = 2x + 21. What is x?
  23. 23.The length of a rectangle is 12 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  24. 24.I think of a number, multiply it by 8 and then add 19. The answer is 235. What is my number?
  25. 25.A pen costs ₹9 more than a pencil. 5 pens and 8 pencils cost ₹201 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹12 more than a pencil. 6 pens and 6 pencils cost ₹264 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 9(x + 3) = 4x + 92. What is x?
  28. 28.A pen costs ₹2 more than a pencil. 5 pens and 7 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  29. 29.Solve for x: 3(x + 3) = x + 41. What is x?
  30. 30.Kavya has 14 coins, all ₹5 and ₹2 coins, worth ₹52 in all. How many ₹5 coins are there?
  31. 31.Ananya has 11 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  32. 32.The length of a rectangle is 11 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  33. 33.Isha has 24 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  34. 34.I think of a number, multiply it by 6 and then add 29. The answer is 119. What is my number?
  35. 35.12 × ? − 12 = 60
  36. 36.A pen costs ₹3 more than a pencil. 3 pens and 4 pencils cost ₹44 in all. What does one pencil cost (in ₹)?
  37. 37.3 × ? + 12 = 36
  38. 38.Sneha has 29 coins, all ₹5 and ₹2 coins, worth ₹136 in all. How many ₹5 coins are there?
  39. 39.6 × ? + 20 = 86
  40. 40.The length of a rectangle is 11 m more than its breadth. Its perimeter is 54 m. What is its breadth (in m)?

Answer key

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

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