Question

Question 97

In the morning, a milkman filled $5\frac{1}{2}$ L of milk in his can. He sold to Renu, Kamla and Renuka $\frac{3}{4}$ L each: to Sharma, he sold $\frac{7}{8}$ L; And to Jassi, he gave 1 $\frac{1}{2}$ How much milk is left in the can?.

Answer 1

Given milk in can
$=5\frac{1}{2}L$
$=\frac{(5\times 2)+1}{2}=\frac{10+1}{2}=\frac{11}{2}L$

If $\frac{3}{4}$ L sold to Renu, Kamla and Renuka.

Then total milk sold
$=\frac{3}{4}+\frac{3}{4}+\frac{3}{4}$
$=\frac{3+3+3}{4}=\frac{9}{4}L$

Milk sold to Sharma $=\frac{7}{8}L$
Milk total to Jassi $=1\frac{1}{2}L=\frac{(1\times 2)+1}{2}=\frac{3}{2}$L
Total milk sold $=\frac{9}{4}+\frac{7}{8}+\frac{3}{2}=\frac{18+7+12}{8}=\frac{37}{2}$ L
$\therefore$ Total milk lef in can $=\frac{11}{2}-\left(\frac{37}{8}\right)=\frac{44-37}{8}=\frac{7}{8}$ L
Hence , $\frac{7}{8}$ L milk is left in the can .