Question

5m de stofa se impart in 4 bucati invers proportionale cu 0,5 ; 0,(3) ; 0,4 si 0,2. Aflati cati metri de stofa are fiecare bucata

Answer 1

x/0,5=y/0,(3)=z/0,4= t/0,2

0,(3)=3/9=1/3
0,5=5/10=1/2
0,4=4/10=2/5
0,2=2/10=1/5
x/1/2=y/1/3=z/2/5=t/1/5
2x=3y=5z/2=5t=k
x=k/2,  y=k/3, z=2k/5  t=k/5
x+y+z+t=5
k/2+k/3+2k/5+k/5=5
15k+10k+12k+6k=30
43k=30
k=30/43=0,6976744
x=k/2=30/43/2=1,39
y=k/3=30/43/3=2,09
y=2k/5=2/5*30/43=0,27
t=k/5=30/43/5=1,25