Question 11
Let $a,b,c$ and $d$ be positive numbers such that $a+b+c+d=8$, and that $$\frac a{b+c+d}+\frac b{a+c+d}+\frac c{a+b+d}+\frac d{a+b+c}=\frac3{10}.$$ Find the value of $$\frac{80}{b+c+d}+\frac{80}{a+c+d}+\frac{80}{a+b+d}+\frac{80}{a+b+c}.$$