Answer:
[tex]Gallons = 27.95[/tex]
Step-by-step explanation:
Given
[tex]Gallons : Miles = 17:590[/tex]
Required
Determine the number of gallon for 870 miles
To do this, we simply substitute 870 for miles in the ratio above
So, we have:
[tex]Gallons : 870= 17:590[/tex]
Convert to fraction
[tex]\frac{Gallons}{870} = \frac{17}{590}[/tex]
Multiply through by 870
[tex]870 * \frac{Gallons}{870} = \frac{17}{590}*870[/tex]
[tex]Gallons = \frac{17}{590}*970[/tex]
[tex]Gallons = \frac{17*970}{590}[/tex]
[tex]Gallons = \frac{16490}{590}[/tex]
[tex]Gallons = 27.95[/tex]