Question

Plz look at pic !!!! Plz Help!!!
Use proportion to solve

Answer 1

It takes 26 2/3 gallons to make a 400 mile trip.

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:
`(270)/(18) =(400)/(g)`

Cross multiply and solve accordingly.

`(270)/(18) =(400)/(g)`

400
`270g = 400 *18\\ 270g = 7200\\g=26(2)/(3)`/g

So the answer is:

It takes 26 2/3 gallons to make a 400 mile trip.