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?

Respuesta :

Answer:

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

Step-by-step 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:

[tex]\frac{\frac{1}{2} }{\frac{2}{3} }  = \frac{1}{m} \\\implies {\frac{1}{2} } \times {\frac{3}{2} }  =  \frac{1}{m}\\or,\frac{1}{m} = \frac{3}{4} \\\implies  m =  \frac{4}{3}[/tex]

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

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