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for a recent session, there were 9 democrats than republicans in a state senate. this resulted in a ratio of 7 democrats to 4 republicans. how many senators were democrat and how many were republican

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Answer:

Republicans senators = 12

Democrats senators = 21

Step-by-step explanation:

let x= Republicans senators,

so Democrats senators = x +9, (Because there is 9 more Democrats than Republicans)

then,

Democrats/Republicans = 7/4

(x+9)/x = 7/4 (cross multiple)

4(x+9) = 7x

4x + 36= 7x (add -4x to both sides)

-4x + 4x + 36 = 7x - 4x ( subtract)

36= 3x (divide by 3)

x= 12

so

x= Republicans senators = 12

and

Democrats = x +9 = 12 + 9 = 21

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