An autmobile travels 176 miles on 8 gallons of gasoline.How far can i go on a tankful of gasoline if the tank holds 14 gallons

please explain

Respuesta :

A= 308 miles

For this proplem you must use a proportion. You know that the automobile can travel 176 miles on 8 gallons of gas, so you could do 176 over 8 on one side of the equals sign and 14 across from 8 on the other side. x is the variable for the number of miles, so that would go across from 176. you cross multiply 176 and 14 to get 2464, then multiply 8 and x to get 8 x. In order to get x by itself, you must divide both sides by 8.

[tex] \frac{176}{8} = \frac{x}{14} [/tex]