Tyler K. answered • 06/19/17

Tutor

New to Wyzant
Math - Elementary math up to Differential Equations

A total of $75,000 was invested into two bodies: stocks(s) and bonds(b).

This gives us: b + s = 75,000.

The bonds earned a 5% profit, and the stocks earned an 8% profit, with the total profit being $4380.

This gives us: .05b + .08s = 4380.

Now we have two equations and two unknowns! We can solve using a system of linear equations:

b + s = 75,000

.05b + .08s = 4380

We're looking for the amount she invested in bonds, so we will solve for b by eliminating s:

.08b + .08s = 6000

-.05b - .08s = -4380

.03b = 1620

b ≅ $54,000

I hope this helps!