SOLUTION: On a committee consisting of Republicans and Democrats, there are twice as many Republicans as Democrats. If 30% of Republicans and 20% of the Democrats voted in favor of a bill an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On a committee consisting of Republicans and Democrats, there are twice as many Republicans as Democrats. If 30% of Republicans and 20% of the Democrats voted in favor of a bill an      Log On


   



Question 645851: On a committee consisting of Republicans and Democrats, there are twice as many Republicans as Democrats. If 30% of Republicans and 20% of the Democrats voted in favor of a bill and there were 8 yes votes, how many people are on the committee?
the answer is 30 but i need to find the equation and I am having issues!

Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I have the answer, but you are going to have to better than "I am having issues." Exactly what have you tried?

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


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+=+2d+
(2) +.3r+%2B+.2d+=+8+
------------------
(2) +3r+%2B+2d+=+80+
Substitute (1) into (2)
(2) +3%2A2d+%2B+2d+=+80+
(2) +6d+%2B+2d+=+80+
(2) +8d+=+80+
(2) +d+=+10+
and, since
(1) +r+=+2d+
(1) +r+=+2%2A10+
(1) +r+=+20+
-------------
+r+%2B+d+=+20+%2B+10+
+r+%2B+d+=+30+
There are 30 people on the committee