Respuesta :

[tex]\bf \begin{array}{ccll} oz&calories\\ \cline{1-2} 6&90\\ 64&x \end{array}\implies \cfrac{6}{64}=\cfrac{90}{x}\implies \cfrac{3}{32}=\cfrac{90}{x}\implies 3x=2880 \\\\\\ x=\cfrac{2880}{3}\implies x=960[/tex]

In the considered juice box, if the jug of juice is of 64 oz, then the amount of calories in it is 960 calories.

How to find how much a thing is consists of another thing?

Suppose that we have the relation that:

x things contain y another thing.

And if we suppose that each thing contains equal number of another thing, then we can do division as:

1 thing contains y/x another thing.

For the given case, we are given that:

6 oz juice box contains 90 calories.

Dividing both the quantities with 6, we get:

1 oz juice contains [tex]90 \div 6 = 15[/tex] calories.

Now, as the problem asks for number of calories in 64 oz, thus, multiplying both the quantities 64 times, we get:

64 oz of juice contains [tex]15 \times 64 = 960[/tex] calories.


Thus, In the considered juice box, if the jug of juice is of 64 oz, then the amount of calories in it is 960 calories.

Learn more about division here:

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