{a,b} i.p {0,(2); 1,(1)}
a* 0,(2) = b*1,(1) = k
a = k/2/9 = 9/2k
b = k/10/9 = 9/10k
{b,c} i.p {3;2}
b * 3 = c * 2 = k
b = k/3
c = k/2
a+2b+3c = 54
9/2k +2*k/3+3*k/2 = 54
12k/2 + 2k/3 = 54
6k + 2k/3 = 54 amplifici pe 6k cu 3
18k/3 + 2k/3 = 54
20k/3 = 54
20k = 54*3
20k = 162
k = 162/20 = 81/10
a = 9/2*81/10 = 729/20
b = 9/10*81/10 = 729/100
c = 81/10*1/2 = 81/20
