Answer: [tex]\dfrac{43}{4}\ \text{Gallons}[/tex]
Step-by-step explanation:
Given
The first one has 4 gallons and 2 quarts of juice
The second one has 1 [tex]\frac{3}{4}[/tex] gallons more than the first
First has
[tex]\Rightarrow 4+\dfrac{2}{4}\\\\\Rightarrow \dfrac{9}{2}\ \text{Gallons}[/tex]
second has
[tex]\Rightarrow 1\dfrac{3}{4}+\dfrac{9}{2}\\\\\Rightarrow \dfrac{7}{4}+\dfrac{18}{4}\\\\\Rightarrow \dfrac{25}{4}\ \text{Gallons}[/tex]
together it is
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{18}{4}\\\Rightarrow \dfrac{25+18}{4}\\\Rightarrow \dfrac{43}{4}\ \text{Gallons}[/tex]
