Respuesta :

This is the concept of conversions;
given that:
1 gal=4 qt=3.7854 l
then:
28 gal will be equivalent to the following number of liters;
28/1*3.7854
=105.9912 l
thus the number of liters of wine that can be held in a wine barrel is 105.99 l

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

[tex]\frac{1}{3.7854} =\frac{28}{x}[/tex]

By cross multiply we get;

[tex]x = 28 \times 3.7854 = 105.9912[/tex] liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

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