Question

Landon owns a hybrid SUV that can travel 400 miles on a 15-gallon tank of gas. Determine how many miles he can travel on 6 gallons.

Answer 1

There are few ways to count it. One of them is:

400 miles on 15-gallon tank
400 / 15 = 26,66666666666667 miles per 1 gallon (looks weirdly but we'll get a nice result in a second)
So 26,66666666666667 * 6 gallons = 160 miles

Answer: Landon's SUV can travel 160 miles on 6 gallons.

Answer 2

we know that

by proportion

$\frac{400}{15}\frac{miles}{gallons}=\frac{x}{6}\frac{miles}{gallons}\\ \\15*x=6*400\\ \\x=(6*400)/15\\ \\x=160\ miles$

therefore

the answer is

$160\ miles$