Question

How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?

Answer 1

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 2

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

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;

`(1)/(3.7854) =(28)/(x)`

By cross multiply we get;

`x = 28 * 3.7854 = 105.9912` liters

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