Hello, lemontea!

1) A broker made 2 seperate investments on behalf of a client.

The first investment earned 12% and the second lost 5% for a net gain of $1040.

If the amounts in these two investments had been switched,

then the result would have been a net gain of $360.

Determine how much was actually invested at each rate

Let = amount invested in plan A.

Let = amount inveted in plan B.

. . The net gain was $1040.

Then we have: .

If the amounts are switched, we have:

= amount invested in plan A.

= amount invested in plan B.

. . The net gain was $360.

Then we have: .

Multiply the equations by 100.

Then we have: .

. . and we can solve the system of equations.

I got: .

Edit: I made a terrible blunder in my arithmetic . . . sorry!