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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 940 · 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 4 pencils cost ₹184 in all. What does one pencil cost (in ₹)?
  2. 2.Aarav has 11 coins, all ₹5 and ₹2 coins, worth ₹46 in all. How many ₹5 coins are there?
  3. 3.A pen costs ₹3 more than a pencil. 2 pens and 6 pencils cost ₹94 in all. What does one pencil cost (in ₹)?
  4. 4.11 × ? − 22 = 11
  5. 5.I think of a number, multiply it by 7 and then take away 1. The answer is 20. What is my number?
  6. 6.Isha has 17 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  7. 7.Aditya has 23 coins, all ₹5 and ₹2 coins, worth ₹88 in all. How many ₹5 coins are there?
  8. 8.I think of a number, multiply it by 6 and then add 22. The answer is 112. What is my number?
  9. 9.Solve for x: 9(x + 4) = x + 108. What is x?
  10. 10.I think of a number, multiply it by 9 and then add 15. The answer is 258. What is my number?
  11. 11.A pen costs ₹11 more than a pencil. 2 pens and 8 pencils cost ₹82 in all. What does one pencil cost (in ₹)?
  12. 12.3 × ? − 21 = 39
  13. 13.I think of a number, multiply it by 9 and then add 10. The answer is 46. What is my number?
  14. 14.The length of a rectangle is 7 m more than its breadth. Its perimeter is 46 m. What is its breadth (in m)?
  15. 15.3 × ? − 7 = 20
  16. 16.A pen costs ₹9 more than a pencil. 3 pens and 2 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  17. 17.A pen costs ₹3 more than a pencil. 6 pens and 2 pencils cost ₹98 in all. What does one pencil cost (in ₹)?
  18. 18.I think of a number, multiply it by 8 and then add 40. The answer is 64. What is my number?
  19. 19.Sneha has 19 coins, all ₹5 and ₹2 coins, worth ₹86 in all. How many ₹5 coins are there?
  20. 20.A pen costs ₹5 more than a pencil. 4 pens and 4 pencils cost ₹148 in all. What does one pencil cost (in ₹)?
  21. 21.4 × ? − 7 = 93
  22. 22.3 × ? + 13 = 31
  23. 23.Solve for x: 3(x + 2) = 2x + 9. What is x?
  24. 24.The length of a rectangle is 6 m more than its breadth. Its perimeter is 24 m. What is its breadth (in m)?
  25. 25.The length of a rectangle is 10 m more than its breadth. Its perimeter is 72 m. What is its breadth (in m)?
  26. 26.The length of a rectangle is 9 m more than its breadth. Its perimeter is 94 m. What is its breadth (in m)?
  27. 27.The length of a rectangle is 11 m more than its breadth. Its perimeter is 62 m. What is its breadth (in m)?
  28. 28.A pen costs ₹8 more than a pencil. 3 pens and 3 pencils cost ₹108 in all. What does one pencil cost (in ₹)?
  29. 29.A pen costs ₹4 more than a pencil. 2 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  30. 30.A pen costs ₹9 more than a pencil. 2 pens and 8 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  31. 31.A pen costs ₹8 more than a pencil. 3 pens and 2 pencils cost ₹39 in all. What does one pencil cost (in ₹)?
  32. 32.7 × ? + 27 = 174
  33. 33.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹73 in all. How many ₹5 coins are there?
  34. 34.Meera has 12 coins, all ₹5 and ₹2 coins, worth ₹39 in all. How many ₹5 coins are there?
  35. 35.Solve for x: 9(x + 3) = 3x + 111. What is x?
  36. 36.5 × ? − 27 = 53
  37. 37.Karan has 27 coins, all ₹5 and ₹2 coins, worth ₹126 in all. How many ₹5 coins are there?
  38. 38.Solve for x: 3(x + 8) = 2x + 41. What is x?
  39. 39.4 × ? + 18 = 98
  40. 40.Manav has 22 coins, all ₹5 and ₹2 coins, worth ₹65 in all. How many ₹5 coins are there?

Answer key

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

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