Answer:
48 Democrats
14 Republicans
2 members of other parties
Step-by-step explanation:
This can be solved by a system of equations.
I am going to say that:
x is the number of democrats that voted for the bill
ax is the number of democrats that voted against the bill
y is the number of republicans that voted for the bill
ay is the number of republicans that voted against the bill
z is the number of members of other parties that voted for the bill
az is the number of members of other parties that voted against the bill.
Now we use the informations the exercise gives us so we can build the system.
There were 75 democrats, so:
17 republicans, so:
4 members of other parties, so:
A bill passed the Senate with 32 more votes in favor than against, so
Three times as many Democrats voting in favor as non-Democrats voting in favor
And 34 more Democrats voting in favor than Republicans voting in favor:
The easiest equation to replace is this:
The first step is writing everything just with x, y and z, so:
-------------
------------
So we have:
Dividing by 2
We also have that
So
And
7
So:
14 republicans voted in favor of the bill.
2 members of other parties voted in favor of the bill.
48 democrats voted in favor of the bill
