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the total mass of 2 sacks of rice and 3 bags of sugar was 32 kg. each sack of rice was 6 kg heavier than all the bags of sugar.what was the mass of 1 sack of rice?what was the massof 1 bag of sugar?

Respuesta :

mbag2767
36 minus 12
20 divided by 5
1 bag of sugar equals 4kg.
Riia

Let s represents mass of 1 sack of rice and w represents mass of 1bag of sugar .

It is given in the question that

The total mass of 2 sacks of rice and 3 bags of sugar was 32 kg

That is

[tex] 2s+3w=32 [/tex]

And

each sack of rice was 6 kg heavier than all the bags of sugar. That is

[tex] s= 3w+6 [/tex]

Substituting the value of s in the first equation, we will get

[tex] 2(3w+6)+3w=32\\6w+12 +3w=32\\9w = 20\\w =20/9 kg [/tex]

So mass of 1 bag of sugar is 20/9 kg. Therefore mass of 1 sack of rice is

[tex] 3*\frac{20}{9}+6 = \frac{38}{3} kg [/tex]

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