Question

In the morning, a milkman filled `5 1/2` L of milk in his can. He sold to Renu, Kamla and Renuka `3/4` L each; to Shadma he sold `7/8` L; and to Jassi he gave `1 1/2` L. How much milk is left in the can?

Answer 1

Given, milk in can = `5 1/2` L

= `((5 xx 2) + 1)/2`

= `(10 + 1)/2`

= `11/2` L

If `3/4` L is sold to Renu, Kamla and Renuka.

Then, total milk sold = `3/4 + 3/4 + 3/4`

= `(3 + 3 + 3)/4`

= `9/4` L

Milk sold to Shadma = `7/8` L

Milk sold to Jassi = `1 1/2` L

= `((1 xx 2) + 1)/2`

= `3/2` L

Total milk sold = `9/4 + 7/8 + 3/2`

= `(18 + 7 + 12)/8`

= `37/2` L

∴ Total milk left in can = `11/2 - (37/8)`

= `(44 - 37)/8` 

= `7/8` L   ...[∵ LCM of 2 and 8 = 8]

Hence, `7/8` L milk is left in the can.