00:03
So we have three different kinds of nuts.
00:05
Peanuts at $1 .40 a pound.
00:08
Cachews at $4 a pound and walnuts at $2 .90 per pound.
00:12
And we're making a blend.
00:13
So let x equal the number of pounds of peanuts we're going to use.
00:18
Y will be the number of pounds of cashews.
00:21
And c will be the number of pounds of walnuts.
00:24
And when you add them all together, the total number of pounds that we want to have is 1 ,500 pounds of blend.
00:38
And the cost, well, if peanuts are $1 .40 a pound, then 1 .4x is how much we're going to spend on peanuts, and 4y is how much we will spend on cashews, and 2 .9 is how much we'll spend on walnuts.
00:55
And when you add those all together, the cost of the blend for that much of it is going to be, $3 ,500.
01:06
So we need to figure out exactly how many pounds of each of those three things we are going to use.
01:14
We have one more constraint, and that is that x is 50 % of the total amount.
01:24
So it's going to be 50 % of 1 ,500 pounds.
01:28
Half of 1 ,500 pounds is 750.
01:30
150.
01:33
So we can actually reduce this.
01:38
We're going to end up.
01:40
Our first equation is going to come from the number of pounds.
01:44
And our second equation will come from the cost.
01:48
And because we know that x is 750, we can eliminate that right out of our equations...