Given:
There are 2 sacks of 3 kilograms of flour.
There are 3 sacks of 3 1/2 kilograms of flour.
There is one sack of 4 kilograms of flour.
There are 6 sacks of 4 1/2 kilograms of flour.
Required:
We need to find the number of kilograms of flour extra if he needs 55 kilograms.
Explanation:
The total number of kilograms of flour
[tex](2\times3)+(3\times3\frac{1}{2})+(1\times4)+(6\times4\frac{1}{2})[/tex][tex]6+(3\times\frac{3\times2+1}{2})+4+(6\times\frac{4\times2+1}{2})[/tex][tex]6+(3\times\frac{7}{2})+4+(6\times\frac{9}{2})[/tex][tex]6+\frac{3\times7}{2}+4+(3\times9)[/tex][tex]6+\frac{21}{2}+4+27[/tex][tex]\frac{21}{2}+37[/tex][tex]\frac{21+74}{2}[/tex][tex]\frac{95}{2}[/tex]
Subtract 95/2 from 55 to get the required kg.
[tex]55-\frac{95}{2}[/tex][tex]55\times\frac{2}{2}-\frac{95}{2}[/tex][tex]\frac{110-95}{2}[/tex][tex]\frac{15}{2}[/tex][tex]7\frac{1}{2}kg[/tex]
Final answer:
[tex]7\frac{1}{2}kg[/tex]