00:01
We have three accounts that we're going to talk about, and i'm calling them x, y, and z.
00:05
It says the sum of 31 ,000 was invested in these three funds.
00:09
So that means we have x plus y plus z is going to equal to that 31 ,000.
00:16
And it says the first fund grew by 4%.
00:21
So that means we're going to have that.
00:23
If it grew by 4%, that means it earned interest at a rate of 4%.
00:30
So we're 0 .04x.
00:33
The y did it at 5%.
00:36
So we're going to say 0 .05y.
00:39
And then the z one, the last one did it, at a rate of 7 .5%.
00:45
So the 0 .075z.
00:48
So the amount that they made, we're going to add this all up together.
00:56
And it's going to give us a total of 1854.
01:01
Now we have some other relationships.
01:03
It says the amount invested in the third fund.
01:05
Which is going to be z was as equals $1 ,000 less than, that means we're going to subtract $1 ,000.
01:15
The combined amount invested in the other two funds.
01:20
So that means we're going to combine the x plus the y.
01:23
Therefore, we have a third equation.
01:27
And i'm going to rewrite that equation as negative x, negative y, positive z, equals negative 1 ,000.
01:34
So i'm going to go ahead and erase this so i can leave those three together and we can solve for x, y, and z.
01:41
I'm going to go ahead and use equation one and two and add those together because that's going to tell me that 2 z equals to 30 ,000, which means z is going to equal to 15 ,000.
01:53
So we already know that.
01:54
15 ,000 will go here.
01:56
So now the question is how much is going to be in the other two accounts.
02:01
Well, we've got to incorporate this here somehow.
02:03
So i'm going to put z...