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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 689 · 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 ₹4 more than a pencil. 2 pens and 4 pencils cost ₹128 in all. What does one pencil cost (in ₹)?
  2. 2.Sneha has 30 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹13 more than a pencil. 3 pens and 6 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  4. 4.Rahul has 19 coins, all ₹5 and ₹2 coins, worth ₹62 in all. How many ₹5 coins are there?
  5. 5.I think of a number, multiply it by 7 and then add 27. The answer is 160. What is my number?
  6. 6.A pen costs ₹14 more than a pencil. 2 pens and 7 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  7. 7.9 × ? + 17 = 98
  8. 8.Aarav has 9 coins, all ₹5 and ₹2 coins, worth ₹27 in all. How many ₹5 coins are there?
  9. 9.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  10. 10.12 × ? + 13 = 313
  11. 11.A pen costs ₹5 more than a pencil. 5 pens and 4 pencils cost ₹151 in all. What does one pencil cost (in ₹)?
  12. 12.Solve for x: 8(x + 9) = 6x + 88. What is x?
  13. 13.Solve for x: 7(x + 8) = 5x + 80. What is x?
  14. 14.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹43 in all. What does one pencil cost (in ₹)?
  15. 15.The length of a rectangle is 2 m more than its breadth. Its perimeter is 36 m. What is its breadth (in m)?
  16. 16.Ananya has 30 coins, all ₹5 and ₹2 coins, worth ₹111 in all. How many ₹5 coins are there?
  17. 17.Pooja has 29 coins, all ₹5 and ₹2 coins, worth ₹82 in all. How many ₹5 coins are there?
  18. 18.A pen costs ₹3 more than a pencil. 4 pens and 6 pencils cost ₹132 in all. What does one pencil cost (in ₹)?
  19. 19.Solve for x: 8(x + 5) = 2x + 136. What is x?
  20. 20.Manav has 28 coins, all ₹5 and ₹2 coins, worth ₹92 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 15 m more than its breadth. Its perimeter is 110 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 2 and then add 30. The answer is 74. What is my number?
  23. 23.2 × ? + 1 = 11
  24. 24.I think of a number, multiply it by 5 and then take away 33. The answer is 92. What is my number?
  25. 25.3 × ? − 7 = 65
  26. 26.Kabir has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  27. 27.The length of a rectangle is 11 m more than its breadth. Its perimeter is 122 m. What is its breadth (in m)?
  28. 28.I think of a number, multiply it by 2 and then add 5. The answer is 51. What is my number?
  29. 29.The length of a rectangle is 6 m more than its breadth. Its perimeter is 44 m. What is its breadth (in m)?
  30. 30.Kabir has 24 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 3 and then add 34. The answer is 73. What is my number?
  32. 32.Diya has 18 coins, all ₹5 and ₹2 coins, worth ₹66 in all. How many ₹5 coins are there?
  33. 33.Karan has 18 coins, all ₹5 and ₹2 coins, worth ₹84 in all. How many ₹5 coins are there?
  34. 34.Solve for x: 4(x + 7) = x + 76. What is x?
  35. 35.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹54 in all. What does one pencil cost (in ₹)?
  36. 36.I think of a number, multiply it by 2 and then add 1. The answer is 7. What is my number?
  37. 37.Solve for x: 6(x + 3) = x + 103. What is x?
  38. 38.Solve for x: 8(x + 1) = x + 148. What is x?
  39. 39.I think of a number, multiply it by 8 and then take away 1. The answer is 71. What is my number?
  40. 40.Solve for x: 7(x + 7) = 6x + 69. What is x?

Answer key

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

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