Question

Carl has 3 1/2 cups of blueberries. He is storing them in containers that each hold 2/3 cup. How many containers can he fill? Find the answer and interpret the result​

Answer 1

The total number of containers than can be filled =
`5(11)/(50)`

Explanation:

The amount of blueberries Carl has = 3 1/2 cups

Now,
`3(1)/(2)  = 3 + (1)/(2) = 3 + 0.5  = 3.5`

⇒The amount of blueberries Carl has = 3. 5 cups

Also,the amount of blueberries each container can store = 2/3 cups

Now,
`(2)/(3)   = 0.67`

⇒The amount of blueberries each container can store = 0.67 cups

So, \textrm{Total cpus that can be filled by blueberries} = \frac{\textrm{Toaal amount of blueberries to be stored}}{\textrm{Bluebeeries stored in 1 cup}}

=
`(3.5 cup)/(0.67 cup)  = 5.22`

Now,
`5.22 = 5 + 0.22 = 5 + (22)/(100) = 5 + (11)/(50)    = 5 (11)/(50)`

Hence, the total number of cups than cen be filled with the blue berries = 5 11/50

⇒ Blueberries can fill 5 full cups and 11/50th of the 6th cup.