How much was invested?

Question

An actor invested some money at 5% simple interest, and $41,000 more than four times the amount at 9%. The total annual interest earned from the investment was $35,260. How much did he invest at each amount?

Answer 1

X*(5%) +(4X+41,000)*9% =35,260 0r

41%*X +9%*41,000 =35260

or 31,579=(41/100)X or X=(100/41)(31579) or

X=77,000 at 5% and 77,000*4 +41,000 or 349,000 at 9%