00:01
In this problem, we want to write a system of equations to model this given scenario.
00:06
So we have a pickup truck that gets 14 miles per gallon in the city and 26 miles per gallon on the highway.
00:11
So the first thing we want to think about is how we can distinguish between those two types of miles.
00:17
So city miles and highway miles.
00:25
So let's say highway miles is going to be denoted with the variable h.
00:29
And city miles will be denoted with the variable c.
00:34
Okay.
00:34
The driver drove a total of 250 miles.
00:38
So we can first say that the number of highway miles plus the city miles equals 250.
00:44
Now, the next thing that we know is that for highway miles, this person gets 14 miles per gallon.
00:53
Okay, you can think about that as 14 miles per gallon written as mpg or 14 miles in one gallon or 14 miles per gallon or 14 miles per gallon or 14 miles per gallon...