Question

Sam picked 1/2 gallon of blueberries. He poured the blueberries into one of his plastic containers and noticed that the berries filled the container 2/3 full. How many of Sam's containers will 1 gallon of blueberries fill?

Answer 1

With 1 gallon of blueberries, Sam can fill 4/3 of his container.

Explanation:

By the given situation:

1/2 gallon of blueberries ⇒ The container is 2/3 full

Now, let us assume 1 gallon of blue berries ⇒ The container is m full.

Now, by the RATIO OF PROPORTIONALITY:

`((1)/(2) )/((2)/(3) )  = (1)/(m) \\\implies {(1)/(2) } * {(3)/(2) }  =  (1)/(m)\\or,(1)/(m) = (3)/(4) \\\implies  m =  (4)/(3)`

Hence, with 1 gallon of blueberries, Sam can fill 4/3 of his container.