Question
During the 111th Congress (beginning in 2009), the U.S. Senate had a total of 98 Democrats and Republicans. There were 14 fewer Republicans than Democrats. How many Democrats and Republicans were there in the Senate.
Answers
GPT 3.5
Let's say the number of Democrats in the Senate was D.
Since there were 14 fewer Republicans than Democrats, the number of Republicans in the Senate was D - 14.
The total number of Democrats and Republicans in the Senate was D + (D - 14) = 98.
Combining like terms, we get 2D - 14 = 98.
Adding 14 to both sides, we get 2D = 112.
Dividing both sides by 2, we get D = 56.
The number of Republicans in the Senate was D - 14 = 56 - 14 = <<56-14=42>>42.
Therefore, there were 56 Democrats and 42 Republicans in the Senate. Answer: \boxed{56, 42}.
Since there were 14 fewer Republicans than Democrats, the number of Republicans in the Senate was D - 14.
The total number of Democrats and Republicans in the Senate was D + (D - 14) = 98.
Combining like terms, we get 2D - 14 = 98.
Adding 14 to both sides, we get 2D = 112.
Dividing both sides by 2, we get D = 56.
The number of Republicans in the Senate was D - 14 = 56 - 14 = <<56-14=42>>42.
Therefore, there were 56 Democrats and 42 Republicans in the Senate. Answer: \boxed{56, 42}.