Q:

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​

Accepted Solution

A:
Answer:The total number of containers than can be filled  = [tex]5\frac{11}{50}[/tex]Step-by-step explanation:The amount of blueberries Carl has  = 3 1/2 cupsNow, [tex]3\frac{1}{2}  = 3 + \frac{1}{2} = 3 + 0.5  = 3.5[/tex]⇒The amount of blueberries Carl has = 3. 5 cupsAlso,the amount of blueberries each container can store  = 2/3 cupsNow, [tex]\frac{2}{3}   = 0.67[/tex]⇒The amount of blueberries each container can store = 0.67 cupsSo, \textrm{Total cpus that can be filled by blueberries}  = \frac{\textrm{Toaal amount of blueberries to be stored}}{\textrm{Bluebeeries stored in 1 cup}} = [tex]\frac{3.5 cup}{0.67 cup}  = 5.22[/tex]Now,[tex]5.22 = 5 + 0.22 = 5 + \frac{22}{100} = 5 + \frac{11}{50}    = 5 \frac{11}{50}[/tex]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.