An actor invested some money at 9% simple interest, and $30,000 more than four times the amount at 12%. The total annual interest earned from the investment was $38.370. How much did the actor invest at each amount?

Question

An actor invested some money at 9% simple interest, and $30,000 more than four times the amount at 12%. The total annual interest earned from the investment was $38.370. How much did the actor invest at each amount?
$____ at 9%  
$____ at 12%

oobleck · Accepted Answer

Assuming a typo in the interest amount, .09x + .12(30000+4x) = 38370

j · Answer

I think I solved it... .09(61000)+.12(274000) = $38,370 so... $61k at 9% $274k at 12% Feel free to comment as I am bad at explaining how I came up with these numbers.