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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 846 · 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 ₹8 more than a pencil. 5 pens and 2 pencils cost ₹110 in all. What does one pencil cost (in ₹)?
  2. 2.A pen costs ₹11 more than a pencil. 3 pens and 7 pencils cost ₹193 in all. What does one pencil cost (in ₹)?
  3. 3.Solve for x: 6(x + 1) = 2x + 58. What is x?
  4. 4.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  5. 5.I think of a number, multiply it by 9 and then take away 38. The answer is 205. What is my number?
  6. 6.Rahul has 12 coins, all ₹5 and ₹2 coins, worth ₹54 in all. How many ₹5 coins are there?
  7. 7.A pen costs ₹2 more than a pencil. 4 pens and 2 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 8 and then take away 10. The answer is 102. What is my number?
  9. 9.2 × ? + 28 = 38
  10. 10.The length of a rectangle is 5 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  11. 11.I think of a number, multiply it by 5 and then add 34. The answer is 134. What is my number?
  12. 12.2 × ? − 21 = 17
  13. 13.I think of a number, multiply it by 3 and then take away 18. The answer is 30. What is my number?
  14. 14.Ishaan has 21 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  15. 15.7 × ? − 6 = 71
  16. 16.The length of a rectangle is 5 m more than its breadth. Its perimeter is 86 m. What is its breadth (in m)?
  17. 17.A pen costs ₹14 more than a pencil. 2 pens and 3 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  18. 18.The length of a rectangle is 2 m more than its breadth. Its perimeter is 20 m. What is its breadth (in m)?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 58 m. What is its breadth (in m)?
  20. 20.I think of a number, multiply it by 9 and then take away 12. The answer is 15. What is my number?
  21. 21.Solve for x: 5(x + 8) = x + 104. What is x?
  22. 22.Vivaan has 12 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  23. 23.4 × ? + 15 = 87
  24. 24.A pen costs ₹4 more than a pencil. 4 pens and 6 pencils cost ₹206 in all. What does one pencil cost (in ₹)?
  25. 25.I think of a number, multiply it by 8 and then add 38. The answer is 142. What is my number?
  26. 26.A pen costs ₹9 more than a pencil. 4 pens and 6 pencils cost ₹126 in all. What does one pencil cost (in ₹)?
  27. 27.7 × ? − 5 = 23
  28. 28.I think of a number, multiply it by 8 and then add 23. The answer is 127. What is my number?
  29. 29.6 × ? − 10 = 14
  30. 30.6 × ? − 27 = 105
  31. 31.3 × ? + 19 = 88
  32. 32.Solve for x: 8(x + 4) = 2x + 74. What is x?
  33. 33.2 × ? − 10 = 10
  34. 34.The length of a rectangle is 8 m more than its breadth. Its perimeter is 32 m. What is its breadth (in m)?
  35. 35.The length of a rectangle is 12 m more than its breadth. Its perimeter is 140 m. What is its breadth (in m)?
  36. 36.The length of a rectangle is 5 m more than its breadth. Its perimeter is 74 m. What is its breadth (in m)?
  37. 37.The length of a rectangle is 6 m more than its breadth. Its perimeter is 56 m. What is its breadth (in m)?
  38. 38.Karan has 15 coins, all ₹5 and ₹2 coins, worth ₹42 in all. How many ₹5 coins are there?
  39. 39.The length of a rectangle is 15 m more than its breadth. Its perimeter is 42 m. What is its breadth (in m)?
  40. 40.Solve for x: 8(x + 1) = 3x + 13. What is x?

Answer key

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

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