00:01
For this question, we are going to write and solve a system of linear equations.
00:08
Let's have f equal the cost per pound of the french roast coffee.
00:20
And c will equal the cost per pound of the colombian coffee.
00:31
One in two thirds pounds can be written as five thirds.
00:38
So 5 thirds pounds of french roast plus 3 and 1 eighths pounds.
00:51
That can be written as 25 eighths of colombian was a total cost of 3125.
01:06
Second equation.
01:14
25 12th of, i think that's supposed to probably say pounds, 2512th pounds.
01:22
25 12th pounds.
01:28
I'm going to assume that's supposed to say pounds, plus 9 .16 pounds of colombian is $15 .15.
01:43
This is our system of equations.
01:45
I would definitely like to clear the denot the fractions.
01:50
So i'm going to multiply my first equation by 24.
01:56
That will give me 24 divided by 3 is 8.
02:00
8 times 5 is 40.
02:05
24 divided by 8 is 3, 3 times 25 is 75, and 24 times 31 .25 is 750.
02:24
For my second equation, least common denominator between 12 and 3, 4 times 3, 4 times 4.
02:38
My least common denominator would include a 4 and a 12.
02:44
So 48.
02:46
I'm going to multiply the entire equation by 48.
02:54
And i get 48 divided by 12 is 4.
02:58
4 times 25 is 100.
03:06
48 divided by 16 is 3...