Similar to the last problem, let a and every member of group B has exactly b dollars. If the total number of dollars between all members of group A and group B is 548, find the total number of people in group A or enter O if there is not enough information to 5. Suppose there are two groups of people, group A and group B, such that each member of group A has exactly a dollars

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Need help with this Intro to Elementary Number Theory homework problem.

 

covered topics

  • prime numbers
  • linear Diophantine equations
  • systems of linear Diophantine equations.

 

Similar to the last problem, let a = 5¹2 and b = 512 - 56. Suppose there are two groups of people, group A and group B, such that each member of group A has exactly a dollars
and every member of group B has exactly b dollars.
If the total number of dollars between all members of group A and group B is 548, find the total number of people in group A or enter O if there is not enough information to
determine this.
Transcribed Image Text:Similar to the last problem, let a = 5¹2 and b = 512 - 56. Suppose there are two groups of people, group A and group B, such that each member of group A has exactly a dollars and every member of group B has exactly b dollars. If the total number of dollars between all members of group A and group B is 548, find the total number of people in group A or enter O if there is not enough information to determine this.
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