Use the Five-Step Strategy for Solving Word Problems to Find $\$ 70,000$

Use the five-step strategy for solving word problems to find the number or numbers described in the following
exercise.
-You inherit $\$ 70,000$ from a very wealthy grandparent, with the stipulation that for the first year, the money must be invested in two stocks paying $4 \%$ and $10 \%$ annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $\$ 4000$ ?

A) $\$ 50,000$ invested at $4 \%$ ; $\$ 20,000$ invested at $10 \%$
B) $\$ 20,000$ invested at $4 \%$ ; $\$ 50,000$ invested at $10 \%$
C) $\$ 40,000$ invested at $4 \%$ ; $\$ 30,000$ invested at $10 \%$
D) $\$ 30,000$ invested at $4 \%$ : $\$ 40,000$ invested at $10 \%$