Question

Salma drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would she need to drive 275 miles

Answer 1

you can get the average gallons per mile with the existing data:
DROVE: 250 mi
TANK DECREASE: 9 gallons

Answer 2

So.. would she need 10? Or 9 point something..

Answer 3

the total distance (100%) is 275 mi

we have given gallon usage for 250 of 275 miles
\[9 gallon = 250 mi\]

Answer 4

you can divide by 250 mi on both sides:
\[9/250mi gallon = 1 \]

and then multiply by 275 mi
\[9 \times 275mi/250mi = 275 mi\]

Answer 5

Travel is 275 / 250 times longer,
usage is also 275/250 times higher.

Answer 6

I got 9.9.. Is that correct?

Answer 7

Use a proportion:

250 miles is to 9 gallons as 275 miles is to x gallons

"is to" means a ratio.

250:9 = 275:x

A ratio can also be written as a fraction:

\( \dfrac{250}{9} = \dfrac{275}{x} \)

Now cross multiply and solve for x.

250x = 9 * 275

250x = 2475

x = 9.9

Answer: 9.9 gallons.

You are correct!

Answer 8

I get the same result :)

we can check that the result makes sense:
275 = 250 + 25

so we get an additional 10% in distance (25 of 250 = 10%)
and the gallons are also increased 10% (which is +.9 of 9 gallons)