Question

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?

Answer 1

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

Answer 2

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

`2s+3w=32`

And

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

`s= 3w+6`

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

`2(3w+6)+3w=32\\6w+12 +3w=32\\9w = 20\\w =20/9 kg`

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

`3*(20)/(9)+6 = (38)/(3) kg`