Răspuns:
6x=8y=12z=k
x=k/6 y=k/8 z=k/12
8*k/6-9*k/8+7*k/12=380
4k/3-9k/8+7k/12=380
32k/24-27k/24+14k/24=380
32k-27k+14k/24=380
19k/24=380
19k=24*380
k=480
x=480*6=2880
y=480*8=3840
z=480*12=5760
Explicație pas cu pas:
/-impartire
*-inmultire
k-coeficient de proportionalitate