The Iditarod sled dog race extends 1049 miles from Anchorage

The Iditarod sled dog race extends 1049 miles from Anchorage to Nome. If a musher is four times as far from Anchorage as from Nome how many miles has the musher completed? The musher has completed miles of the race. (Round to the nearest whole number.)

Solution

sled dog extends 1049 miles from Anchorage to Nome

musher is four times as far from Anchorage as from Nome

let musher is x miles from Nome

then it is 4x miles from Anchorage

x + 4x = 1049

5x = 1049

x = 1049 / 5

x= 209.8

4x = 209.8* 4 = 839.2

musher has completed 839 miles of race