Please help

Question

A bank loaned out $64,000, part of it at the rate of 15% per year and the rest at a rate of 8% per year. If the interest received was $7010, how much was loaned at 15%? 

Answer 1

Try it with a system of equations. 

You know that the interest is equal to 

one part, x times 0.15 plus the other part, y times 0.08:

.15x+0.08y=7010

You also know that each part totals to 64,000 so x+y=64,000

Solve for x in one equation (you will have another equation) and plug it into the other to solve for y. 

Then plug back in y to solve for x. This will give you the part that was loaned at 15%.