Answer:
[tex]x=7 \frac{3}{7}[/tex] gallons
Step-by-step explanation:
So we are given:
70 miles -> 1 gallon is used.
520 miles -> x gallons is used.
Set up a proportional to solve.
I lined up everything already above:
[tex]\frac{70}{520}=\frac{1}{x}[/tex]
Cross multiply:
[tex]70(x)=520(1)[/tex]
[tex]70x=520[/tex]
Divide both sides by 70:
[tex]x=\frac{520}{70}[/tex]
Reduce the fraction (divide top and bottom by 10):
[tex]x=\frac{52}{7}[/tex]
How many 7's are in 52? 7 because 7(7)=49
How much is left over after seven 7's go into 52? 52-49=3
So the answer as a mixed fraction is:
[tex]x=7 \frac{3}{7}[/tex]
