00:01
So we're trying to make a mixture using some candies and nuts.
00:04
And we have a budget that requires the mixture to cost about $1 .29 per cup.
00:10
And we want to make a total of 12 cups.
00:12
So the first thing that we want to consider is, well, we know that the total number of cups of nuts plus the total number of cups of candies is going to equal 12 cups.
00:21
We want to make 12 cups of mixture.
00:23
And we know we want to spend about $1 .29 per cup.
00:26
So if i take 12 and i multiply it by $1 .20 ,000, we have a total budget of $15 .48 to make this happen.
00:36
And then they give us the cost of the nuts per cup and the cost of the candies per cup.
00:41
So the cost of one cup of candies is $2 .49.
00:46
So it's going to be $2 .49.
00:49
C, so $2 .49 per cup of candies plus $69 per cup of nuts.
00:56
And again, we have a total budget of $15 .48.
00:58
So we want to figure out how many cups of each we can have.
01:01
So let's take our original equation n plus c equals 12 and solve for one of the variables.
01:06
So let's go ahead and solve for n.
01:07
So if i subtract c on both sides, i end up with 12 minus c.
01:11
So if i plug that in for n in my second equation, i would have $2 .49 c plus 0 .69.
01:20
And instead of n, i'm going to put 12 minus c equals 1548.
01:25
I'm going to distribute the 69 cents...