Respuesta :

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]