SOLUTION: Senate had a total of 99 Democrats and Republicans. There are 11 more Republicans than Democrats. How many democrats and Republicans are in the senate?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Senate had a total of 99 Democrats and Republicans. There are 11 more Republicans than Democrats. How many democrats and Republicans are in the senate?      Log On


   

Question 261403: Senate had a total of 99 Democrats and Republicans. There are 11 more Republicans than Democrats. How many democrats and Republicans are in the senate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let d = number of Democrats
Let r = number of Republicans
given:
(1) r+%2B+d+=+99
(2) r+=+d+%2B+11
--------------------
From (2)
(2) r+-+d+=+11
Add (1) and (2)
r+%2B+d+=+99
r+-+d+=+11
2r+=+110
r+=+55
And, since
r+%2B+d+=+99
55+%2B+d+=+99
d+=+44
There are 44 Democrats and 55 Republicans