[tex] \frac{c1}{c2} = \frac{8}{15} \\ c1= \frac{8c2}{15} \\ p=240=c1+c2+ip \\ ip^{2} = c_{1} ^{2} +c_{2} ^{2}= \frac{64c_{2} ^{2}}{225} +c_{2} ^{2}= \frac{289c_{2} ^{2}}{225} \\ ip= \frac{17c_{2} }{15} \\ \frac{8c_{2} }{15} +c_{2}+\frac{17c_{2} }{15}=240 \\ \frac{40c_{2}}{15} =240 \\ c_{2}= \frac{240*15}{40} =90 \\ c1= \frac{8*90}{15} =48 \\ ip= \frac{17*90}{15} =102[/tex]
