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Gavin drank 3/4 of a liter of orange juice from a container, which 3/8 of the orange juice that was originally in the container. How much orange juice was originally in the container? (pls explain how you get the answer and why you need to do this to get this answer)

Answer :

calculista

Answer:

2 liters

Step-by-step explanation:

Let

x ----> amount of the orange juice originally in the container in liters

we know that

The amount of the orange juice originally in the container multiplied by 3/8 must be equal to 3/4 of a liter of orange juice

so

The linear equation that represent this situation is

[tex]\frac{3}{8}x=\frac{3}{4}[/tex]

solve for x

[tex]x=24/12=2\ L[/tex]

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