Question

For the following word problems, create a system of equations and solve by using the substitution method.

Answer 1

We will solve as follows:

*We have the equations:

`9.50A+27.00B=4000`

&

`A+B=200`

We solve then for the second equation [Either for A or B], that is:

`A=200-B`

Now, we replace in the first equation and solve for B:

`9.50(200-B)+27.00B=400\Rightarrow1900-9.50B+27.00B=4000`
`=17.5B+1900=4000\Rightarrow17.5B=2100`
`\Rightarrow B=120`

Now, we replace the value of B in the second equation:

`A=200-(120)\Rightarrow A=80`

So, the investor has 80 shares on stock A and 120 shares on stock B.