Problema Solution

Lafayette County in Florida has 4269 registered voters. There are 3428 more democrats than 5 times the amount of independents, and there are 497 more republicans than twice the amount of independents. How many voters in Lafayette County are registered democrats?

Answer provided by our tutors

Let

x = the number of independents

5x + 3428 = the number of registered democrats

2x + 497 = the number of registered republicans

Altogether there are 4269 voters:

x + (5x + 3428) + (2x + 497) = 4269

........

click here to see the equation solved for x

........

x = 43

5*43 + 3428 = 3,643 registered democrats

There are 3,643 registered democrats in Lafayette County.