Defining Invested Amounts for Interest

Question

An actor invested some money at 8​% simple​ interest, and ​$37,000 more than twice the amount at 10%. The total annual interest earned from the investment was ​$18,260. How much did he invest at each​ amount?

Answer 1

.08)(37,000+2x) + .10x = 18,260

2,660 +16x +.10x = 18,260

-.26x = 15,600

x = 15,600/.26 = 60,230.77= amount invested at 10%

37000 +2x + 37000+ 2(60230.77 = 37000 +120,461.54= $157,461.54 invested at 8%