A total of $27,000 was invested into two separate accounts. Do you want to count on 12% and the other and 10%. If the total yield was $2990, how much was

Answer 1

Let "x" stand for the amount invested at 12%.

That means the amount invested at 10% must be 27,000 - x

So, the total return must be x (the amount invested at 12%) times 0.12 plus the amount invested at 10% (27,000 - x) times 0.10. In algebraic terms:

Total return = .12*x + .1*(27,000 - x) = 2,990

Multiply out the expression above:

.12x + 2,700 - .1x = 2,990

Combine like terms:

.02x + 2,700 = 2,990

Subtract 2,700 from both sides:

.02x = 290

Divide both sides by .02:

x = 14,500

So you would invest $14,500 at 12% and 12,500 at 10%.