The U.S. senate has 100 members. After a certain election, there were 18 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?

Answer 1

The Senate is composed of 41 Republicans and 59 Democrats

Let Republicans = x

Let Democrats = x + 18

Total = 100

x + x + 18 =100

2x + 18 =100

Subtract 18 from both sides of the equation

2x = 100 - 18

2x = 82

Divide both sides by 2

x = 41 = Republicans

x + 18 = 41 + 18 = 59 = Democrats

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Answer 2

Let X= Democrats Let Y=Republicans

X+Y=100

Y+18=X

X-18=Y

X+(X-18)=100

2X-18=100

2X=118

X=59

Y=41

So, 59 Democrats, and 41 Republicans.