Three brothers have some money. The oldest has 3/5 of the total, and the youngest has 1/10 of the total. If the oldest brother has $108, how much do each of the other brothers have?

First, let's get rid of the unneeded info.

Oldest brother has $108 (3/5 the total)

Youngest brother has $x (1/10 the total)

Next let's find out the total. We do this by multiplying the oldest brothers money by 5/3 (the reciprocal).

108 * (5/3) = 180.

So the total amount of money is $180.

Finally, do 180 * (1/10) to find the youngest brother's amount.

180 * (1/10) = 18.

The youngest brother has $18.