Question

Cantitatea de 4584 litri se pune in 53 de bidoane si 46 de butoaie , iar cantitatea de 6168 litri se pune in 53 de bidoane si 68 de butoaie. Ce capacitate are un bidon? Dar un butoi?

Answer 1

x=bidoane ---- y=butoaie
4584=53x+46y
6168=53x+68y (iar aceste 2 calcule le scadem )
6168-4584=53x-53x+68y-46y
1584=22y
y=72 (capacitatea butoiului
4584=53x+46 x 72
4584-3312=53x
1272=53x
x=24 capacitatea bidonului

Answer 2

53 bidoane+68 butoaie=6 168 litri
53 bidoane+46 butoaie=4 584 litri
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Le scadem: 22 butoaie=1 584 litri
=>22 b------------------1584 l
1 b---------------------x l
x=1×1584:22=1584:22=>x=72 litri are un butoi
1)Cate kg au toate butoaiele?
72×(68+46)=72×114=8 208 kg au butoaiele
2)cate kg au bidoanele?
(6168+4584)-8208=10 752-8208=2544 kg au ramas
2544:(53+53)=2545:106=24 kg are un bidon
Un bidon=24 kg
Un butoi=72 kg