(a,b,c) ip ( 0,5 ; 0,25 ; 8,(3) ) => 0,5a= 0,25 b = 8,(3) c= k => a= k/0,5 = 2k
b= k/0,25 = 4k
c = k/8,(3)= k/75/9 = k×9/75= 0,12k
8,(3)= 83-8/9 = 75/9
a+b+c= 90
2k+4k+0,12k=90
6,12 k = 90 => k = 90/6,12= 9000/612= 3000/204=1500/102= 750/51 = 250/ 17
k=250/17=> a = 2× 250/17 = 500/17
b= 4× 250/17 = 1000/17
c= 0,12× 250/17= 30/17
Coroana?
