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

51 Republicans

59 Democrats

Answer 2

53 Democrats

47 Republicans

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