Answer
178 Republicans, 256 Democrats
Work Step by Step
If we represent the number of Republicans with x, then the number of Democrats is represented by x + 78 because there are 78 more Democrats than Republicans. Since the total number is 434, the equation is:
x + (x + 78) = 434
Solve for x;
2x + 78 = 434
2x = 356
x = 178
There are x= 178 Republicans, and x + 78 = 178 + 78 = 256 Democrats.
