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]
