00:02
The problem tells us that a woman bought large frames and she buys small frames.
00:07
She buys so many of each and then it gives us a total of frames and a total amount.
00:13
For this question, we have to write a system of equations to figure out how many large frames, how many small frames.
00:21
So what i've done here is i've just written down the information given in blue.
00:26
And then i identified my variables.
00:28
So i'm going to let the large frames be x and the small frames be y.
00:32
We know that the large were $15, a small were five.
00:36
We know that she bought a total of 22 frames and spent a total of $150.
00:43
So in order to come up with our equations, what i always like to tell students is one equation is going to be all money and the other equation is going to be no money.
00:52
So if i use the money once, i'm not going to use it in the second equation.
00:56
So we know she bought x large for $15.
01:02
We don't know how many large, but we know she spent $15.
01:05
So that's $15 plus our small frames of $5, and that gave us a total of $150.
01:16
That is our first equation.
01:18
Our second equation, we know that she bought 22 total frames.
01:25
We want to know how many large, how many small...