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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 184 · 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.Kavya has 27 coins, all ₹5 and ₹2 coins, worth ₹132 in all. How many ₹5 coins are there?
  2. 2.I think of a number, multiply it by 6 and then add 25. The answer is 163. What is my number?
  3. 3.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹95 in all. What does one pencil cost (in ₹)?
  4. 4.The length of a rectangle is 8 m more than its breadth. Its perimeter is 60 m. What is its breadth (in m)?
  5. 5.The length of a rectangle is 10 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  6. 6.Solve for x: 8(x + 2) = 3x + 66. What is x?
  7. 7.A pen costs ₹3 more than a pencil. 2 pens and 5 pencils cost ₹62 in all. What does one pencil cost (in ₹)?
  8. 8.A pen costs ₹10 more than a pencil. 5 pens and 2 pencils cost ₹92 in all. What does one pencil cost (in ₹)?
  9. 9.A pen costs ₹11 more than a pencil. 5 pens and 3 pencils cost ₹215 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹12 more than a pencil. 5 pens and 6 pencils cost ₹214 in all. What does one pencil cost (in ₹)?
  11. 11.The length of a rectangle is 11 m more than its breadth. Its perimeter is 90 m. What is its breadth (in m)?
  12. 12.Solve for x: 5(x + 8) = 4x + 44. What is x?
  13. 13.I think of a number, multiply it by 2 and then take away 29. The answer is 11. What is my number?
  14. 14.I think of a number, multiply it by 4 and then add 10. The answer is 102. What is my number?
  15. 15.9 × ? + 1 = 190
  16. 16.A pen costs ₹6 more than a pencil. 3 pens and 8 pencils cost ₹194 in all. What does one pencil cost (in ₹)?
  17. 17.Saanvi has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  18. 18.Manav has 16 coins, all ₹5 and ₹2 coins, worth ₹47 in all. How many ₹5 coins are there?
  19. 19.Manav has 30 coins, all ₹5 and ₹2 coins, worth ₹123 in all. How many ₹5 coins are there?
  20. 20.Arjun has 28 coins, all ₹5 and ₹2 coins, worth ₹125 in all. How many ₹5 coins are there?
  21. 21.The length of a rectangle is 13 m more than its breadth. Its perimeter is 114 m. What is its breadth (in m)?
  22. 22.Solve for x: 6(x + 1) = 2x + 30. What is x?
  23. 23.A pen costs ₹8 more than a pencil. 2 pens and 4 pencils cost ₹112 in all. What does one pencil cost (in ₹)?
  24. 24.Solve for x: 8(x + 4) = 6x + 38. What is x?
  25. 25.The length of a rectangle is 12 m more than its breadth. Its perimeter is 76 m. What is its breadth (in m)?
  26. 26.10 × ? − 3 = 197
  27. 27.Solve for x: 6(x + 9) = x + 84. What is x?
  28. 28.Solve for x: 8(x + 6) = 4x + 120. What is x?
  29. 29.Solve for x: 4(x + 2) = 3x + 23. What is x?
  30. 30.6 × ? − 2 = 136
  31. 31.The length of a rectangle is 10 m more than its breadth. Its perimeter is 116 m. What is its breadth (in m)?
  32. 32.The length of a rectangle is 7 m more than its breadth. Its perimeter is 34 m. What is its breadth (in m)?
  33. 33.The length of a rectangle is 2 m more than its breadth. Its perimeter is 124 m. What is its breadth (in m)?
  34. 34.I think of a number, multiply it by 8 and then add 17. The answer is 121. What is my number?
  35. 35.Vivaan has 18 coins, all ₹5 and ₹2 coins, worth ₹48 in all. How many ₹5 coins are there?
  36. 36.I think of a number, multiply it by 9 and then take away 10. The answer is 260. What is my number?
  37. 37.Solve for x: 3(x + 3) = 2x + 13. What is x?
  38. 38.7 × ? + 3 = 171
  39. 39.2 × ? + 18 = 54
  40. 40.I think of a number, multiply it by 3 and then add 5. The answer is 95. What is my number?

Answer key

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

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