Question

The U.S. Senate has 100 members. After a certain​ election, there were 6 more Democrats than​ Republicans, with no other parties represented. How many members of each party were there in the​ Senate?
_________ Democrats
___________ Republicans

Answer 1

Answer:

51 Republicans

59 Democrats

Answer 2

Answer:

53 Democrats

47 Republicans

Step-by-step explanation:

We are given that the U.S. Senate has 100 members so we can write it in an equation, assuming $R$ to be the number of Republicans and $D$ to be the number of Democrats:

$D+R=100$ --- (1)

Given that there were 6 more Democrats than​ Republicans, we can write another equation:

$D=R+6$ --- (2)

Substituting this value of D in (1):

$R+6+R=100$

$2R+6=100$

$2R=94$

R = 47

Finding D:

$D+47=100$

D = 53