Answer:
Dan bought 44.65 liters of gas.
Step-by-step explanation:
The gas Dan bought on Friday and Saturday in gallons is
[tex]5\frac{1}{4}+6\frac{1}{2}[/tex]
[tex]=\frac{21}{4} +\frac{13}{2}[/tex]
We collect LCM for the denominators,
[tex]=\frac{21+26}{4}[/tex]
[tex]=\frac{47}{4}[/tex]gallons
We now convert to liters using the relation,
[tex]1\:gallon=3.8\: liters[/tex]
Let [tex]\frac{47}{4}\:gallons=x\:liters[/tex]
Then,
[tex]x=3.8\times \frac{47}{4}[/tex]
[tex]x=\frac{38}{10}\times \frac{47}{4}[/tex]
[tex]x=\frac{19}{5}\times \frac{47}{4}[/tex]
[tex]x=\frac{893}{20}=44.65[/tex]
Therefore Dan bought 44.65 liters of gas.
