Solve the Problem $\$ 10,000$ In an Account That Pays $12 \%$

Multiple Choice

Solve the problem.
-Helen Weller invested $\$ 10,000$ in an account that pays $12 \%$ simple interest. How much additional money must be invested in an account that pays 15\% simple interest so that the total interest is equal to the interest on the two investments at the rate of $13 \%$ ?

A) $\$ 6000$
B) $\$ 7000$
C) $\$ 10,000$
D) $\$ 5000$