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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 209 · 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. 6 pens and 4 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  2. 2.7 × ? − 16 = 47
  3. 3.A pen costs ₹13 more than a pencil. 2 pens and 7 pencils cost ₹188 in all. What does one pencil cost (in ₹)?
  4. 4.4 × ? + 22 = 58
  5. 5.I think of a number, multiply it by 5 and then take away 23. The answer is 32. What is my number?
  6. 6.I think of a number, multiply it by 3 and then add 16. The answer is 73. What is my number?
  7. 7.Arjun has 10 coins, all ₹5 and ₹2 coins, worth ₹26 in all. How many ₹5 coins are there?
  8. 8.Solve for x: 6(x + 3) = 3x + 51. What is x?
  9. 9.A pen costs ₹8 more than a pencil. 4 pens and 5 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  10. 10.I think of a number, multiply it by 7 and then add 6. The answer is 27. What is my number?
  11. 11.Solve for x: 4(x + 7) = 3x + 31. What is x?
  12. 12.Isha has 20 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  13. 13.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  14. 14.Solve for x: 9(x + 4) = 3x + 42. What is x?
  15. 15.Sneha has 24 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  16. 16.7 × ? − 28 = 35
  17. 17.The length of a rectangle is 14 m more than its breadth. Its perimeter is 68 m. What is its breadth (in m)?
  18. 18.I think of a number, multiply it by 7 and then add 14. The answer is 56. What is my number?
  19. 19.I think of a number, multiply it by 4 and then take away 17. The answer is 3. What is my number?
  20. 20.I think of a number, multiply it by 6 and then add 30. The answer is 96. What is my number?
  21. 21.The length of a rectangle is 5 m more than its breadth. Its perimeter is 118 m. What is its breadth (in m)?
  22. 22.I think of a number, multiply it by 2 and then add 25. The answer is 39. What is my number?
  23. 23.A pen costs ₹13 more than a pencil. 2 pens and 3 pencils cost ₹51 in all. What does one pencil cost (in ₹)?
  24. 24.Aarav has 13 coins, all ₹5 and ₹2 coins, worth ₹35 in all. How many ₹5 coins are there?
  25. 25.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹61 in all. How many ₹5 coins are there?
  26. 26.A pen costs ₹11 more than a pencil. 2 pens and 2 pencils cost ₹58 in all. What does one pencil cost (in ₹)?
  27. 27.Solve for x: 9(x + 5) = 4x + 75. What is x?
  28. 28.Saanvi has 30 coins, all ₹5 and ₹2 coins, worth ₹99 in all. How many ₹5 coins are there?
  29. 29.7 × ? + 4 = 88
  30. 30.Saanvi has 8 coins, all ₹5 and ₹2 coins, worth ₹34 in all. How many ₹5 coins are there?
  31. 31.I think of a number, multiply it by 4 and then take away 20. The answer is 12. What is my number?
  32. 32.Solve for x: 5(x + 1) = 4x + 18. What is x?
  33. 33.I think of a number, multiply it by 6 and then add 17. The answer is 179. What is my number?
  34. 34.The length of a rectangle is 10 m more than its breadth. Its perimeter is 104 m. What is its breadth (in m)?
  35. 35.A pen costs ₹13 more than a pencil. 6 pens and 5 pencils cost ₹122 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹3 more than a pencil. 4 pens and 5 pencils cost ₹165 in all. What does one pencil cost (in ₹)?
  37. 37.2 × ? + 2 = 44
  38. 38.A pen costs ₹7 more than a pencil. 5 pens and 8 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  39. 39.Aarav has 27 coins, all ₹5 and ₹2 coins, worth ₹60 in all. How many ₹5 coins are there?
  40. 40.10 × ? − 5 = 125

Answer key

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

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