Answer:
The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])
Step-by-step explanation:
Both gallon and quart are capacity units, we must keep in mind that a gallon equals 4 quarts. We need to convert each price in the same units. In this case, we decided to use US dollars per quart as our reference unit. Hence:
Blue paint 1 ([tex]16.64\,\frac{USD}{qt}[/tex])
No unit conversions are needed.
Blue paint 2 ([tex]34.96\,\frac{USD}{gal}[/tex])
We proceed to the following conversion:
[tex]x = 34.96\,\frac{USD}{gal}\times \frac{1\,gal}{4\,qt}[/tex]
[tex]x = 8.74\,\frac{USD}{qt}[/tex]
The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])
