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Aflati a,b,c,stiind ca sunt proportionale cu 0,5;0,2;0,(3) si a+b+c=930.

Răspuns :

0,5=5/10=1/2
0,2=2/10=1/5
0,(3)=3/9=1/3

a,b,c  dp  1/2  1/5  1/3

a/1/2=  b/1/5=  c/1/3=k
a * 2/1=  b* 5/1  =  c* 3/1=k
2a=5b=3c=k
a=k/2
b=k/5
c=k/3

a+b+c=930
k/2 +k/5  +k/3 =930  aducem la acelasi numitor
15k +6k+10k= 13 950
31k=13 950
k=450

a=450/2=225
b=450/5=90
c=450/3=150