Answer:
It takes 26 2/3 gallons to make a 400 mile trip.
Step-by-step explanation:
This question is simply asking for the number of miles per gallon . In math, per means this is meant to be written as a fraction.
"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.
If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.
Now we can set up the proportion: [tex]\frac{270}{18} =\frac{400}{g}[/tex]
Cross multiply and solve accordingly.
[tex]\frac{270}{18} =\frac{400}{g}[/tex]
400[tex]270g = 400 *18\\ 270g = 7200\\g=26\frac{2}{3}[/tex]/g
So the answer is:
It takes 26 2/3 gallons to make a 400 mile trip.
