Roman wins a contest with a prize of $\$ 200$. He gives $30 \%$ of the prize to Jackie. He then splits $15 \%$ of what remains equally between Dale and Natalia. How much money does Roman give Dale?
(A) $\$ 10.50$
(B) $\$ 15.00$
(C) $\$ 4.50$
(D) $\$ 25.50$
(E) $\$ 59.50$
To determine $30 \%$ of Roman's $\$ 200$ prize, we calculate $\$ 200 \times 30 \%=\$ 200 \times \frac{30}{100}=\$ 2 \times 30=\$ 60$. After Roman gives $\$ 60$ to Jackie, he has $\$ 200-\$ 60=\$ 140$ remaining.

He splits $15 \%$ of this between Dale and Natalia.

The total that he splits is $\$ 140 \times 15 \%=\$ 140 \times 0.15=\$ 21$.

Since Roman splits $\$ 21$ equally between Dale and Natalia, then Roman gives Dale a total of $\$ 21 \div 2=\$ 10.50$.