00:01
In this video, we're going to be doing a quick word problem that we're going to be solving using algebra.
00:06
Okay, so we have two neighbors who both use the same landscaping contractor.
00:11
Okay, this landscaper charges a flat travel fee, and i'll call that t, and a flat hourly rate.
00:21
I'll call that r.
00:23
Right, and we want to find the hourly rate and the travel rate.
00:26
We know that neighbor a spends a total of $105 for hours a, four hours of work.
00:43
And neighbor b is charged $65 for h sub b, two hours of work.
00:53
So from this, we want to set up two equations, which will both have t and r as a very variable.
01:00
And then we're going to solve that system of equations.
01:03
Okay, so let's look at neighbor a first, and i'm going to write his total charge.
01:10
So a, i'm going to write that as a function of the travel fee, so that's just a flat free of t, plus hourly rate r times the hours work at a.
01:28
And then for neighbor b, we're going to have b.
01:32
Equals still the flat travel rate times the hourly rate times h sub b so let's put in our numbers and i have 105 equals t plus 4r and 65 equals t plus 2r and now let's multiply the second equation by negative 1...