Question

A pitcher has 16 cups of water in it. During the day, Aditi drank 21⁄2 cups, Kavitha drank 33⁄4 cups, and Rahul drank 41⁄8 cups. How many cups of water are still in the pitcher?

Answer 1

Total cups of water in pitcher = 16 cups

Cups of water drank by Aditi =
`2 (1)/(2)` =
`(5)/(2)` cups

Cups of water drank by Kavitha =
`3 (3)/(4)`=
`(15)/(4)` cups

Cups of water drank by Rahul =
`4 (1)/(8)`=
`(33)/(8)` cups

Total cups of water drank by three of them

=
`(5)/(2)` +
`(15)/(4)` +
`(33)/(8)`

LCM of 2,4 and 8 is 8.

=
`(20+30+33)/(8)`

=
`(83)/(8)` cups

Number of cups left in the pitcher =
`16 - (83)/(8)`

LCM of 1 and 8 is 8.

=
`(128-83)/(8)`

=
`(45)/(8)`

=
`5 (5)/(8)` cups

So,
`5 (5)/(8)` cups are left in the pitcher.