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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 214 · 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.Diya has 26 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  2. 2.Solve for x: 7(x + 5) = 3x + 51. What is x?
  3. 3.Manav has 18 coins, all ₹5 and ₹2 coins, worth ₹72 in all. How many ₹5 coins are there?
  4. 4.Aarav has 10 coins, all ₹5 and ₹2 coins, worth ₹41 in all. How many ₹5 coins are there?
  5. 5.A pen costs ₹2 more than a pencil. 5 pens and 2 pencils cost ₹101 in all. What does one pencil cost (in ₹)?
  6. 6.Solve for x: 4(x + 9) = 2x + 38. What is x?
  7. 7.A pen costs ₹4 more than a pencil. 6 pens and 5 pencils cost ₹57 in all. What does one pencil cost (in ₹)?
  8. 8.I think of a number, multiply it by 4 and then add 4. The answer is 80. What is my number?
  9. 9.A pen costs ₹13 more than a pencil. 3 pens and 8 pencils cost ₹116 in all. What does one pencil cost (in ₹)?
  10. 10.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹178 in all. What does one pencil cost (in ₹)?
  11. 11.A pen costs ₹5 more than a pencil. 6 pens and 4 pencils cost ₹140 in all. What does one pencil cost (in ₹)?
  12. 12.A pen costs ₹4 more than a pencil. 2 pens and 4 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  13. 13.Solve for x: 6(x + 4) = 2x + 32. What is x?
  14. 14.A pen costs ₹2 more than a pencil. 5 pens and 4 pencils cost ₹73 in all. What does one pencil cost (in ₹)?
  15. 15.I think of a number, multiply it by 7 and then take away 1. The answer is 55. What is my number?
  16. 16.Sneha has 23 coins, all ₹5 and ₹2 coins, worth ₹55 in all. How many ₹5 coins are there?
  17. 17.A pen costs ₹12 more than a pencil. 5 pens and 8 pencils cost ₹138 in all. What does one pencil cost (in ₹)?
  18. 18.A pen costs ₹15 more than a pencil. 3 pens and 8 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  19. 19.Nisha has 11 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  20. 20.Kavya has 18 coins, all ₹5 and ₹2 coins, worth ₹57 in all. How many ₹5 coins are there?
  21. 21.Ishaan has 11 coins, all ₹5 and ₹2 coins, worth ₹31 in all. How many ₹5 coins are there?
  22. 22.A pen costs ₹5 more than a pencil. 2 pens and 4 pencils cost ₹106 in all. What does one pencil cost (in ₹)?
  23. 23.11 × ? − 27 = 28
  24. 24.Arjun has 23 coins, all ₹5 and ₹2 coins, worth ₹79 in all. How many ₹5 coins are there?
  25. 25.A pen costs ₹4 more than a pencil. 5 pens and 7 pencils cost ₹68 in all. What does one pencil cost (in ₹)?
  26. 26.A pen costs ₹9 more than a pencil. 5 pens and 4 pencils cost ₹144 in all. What does one pencil cost (in ₹)?
  27. 27.2 × ? − 9 = 37
  28. 28.5 × ? − 21 = 29
  29. 29.The length of a rectangle is 8 m more than its breadth. Its perimeter is 132 m. What is its breadth (in m)?
  30. 30.2 × ? + 28 = 52
  31. 31.Kavya has 24 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?
  32. 32.A pen costs ₹12 more than a pencil. 2 pens and 8 pencils cost ₹104 in all. What does one pencil cost (in ₹)?
  33. 33.7 × ? − 10 = 18
  34. 34.Nisha has 22 coins, all ₹5 and ₹2 coins, worth ₹98 in all. How many ₹5 coins are there?
  35. 35.A pen costs ₹5 more than a pencil. 3 pens and 2 pencils cost ₹35 in all. What does one pencil cost (in ₹)?
  36. 36.A pen costs ₹14 more than a pencil. 6 pens and 2 pencils cost ₹172 in all. What does one pencil cost (in ₹)?
  37. 37.I think of a number, multiply it by 8 and then add 35. The answer is 259. What is my number?
  38. 38.I think of a number, multiply it by 8 and then add 26. The answer is 162. What is my number?
  39. 39.The length of a rectangle is 13 m more than its breadth. Its perimeter is 126 m. What is its breadth (in m)?
  40. 40.Zoya has 30 coins, all ₹5 and ₹2 coins, worth ₹78 in all. How many ₹5 coins are there?

Answer key

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

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