linear systems finance

Question

You invested in RYURX and RYIHX which each had a loss on the year. RYURX had a year-to-date loss of 5% while RYIHX had a year-to-date loss of 7%. If you invested a total of $15,500 and had a total year-to-date loss of $915, how much did you invest in each company?

Answer 1

.07x + ,05(15500-x)= 915

.02x = 915- .05(15500)= 915-775= 140

x =140/.02=$7000 at 7%

15500-7000= $8500 at 5%

7x7+5x8.5=49+42.5=91.5