00:01
This problem wants us to write a linear system of equations to represent the scenario.
00:04
And the scenario we're given is that an investment of $64 ,000 was made by a business club.
00:10
The investment was split into three parts and lasted for one year.
00:14
The first part of the investment earned 8 % interest.
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The second, 6 % and the third was 9%.
00:19
The total interest from the investments was $5 ,160.
00:24
The interest from the first investment was six times the interest from the second.
00:28
Vying the amounts of the three parts.
00:29
So we want to write an equation to represent a scenario.
00:33
And the first equation we're going to write is by showing the amount in all three of our investments, ignoring how much we get for interest is going to equal that $64 ,000 that we invested.
00:44
So however much we put in the first, second, and third investments, all combined, gives us that $64 ,000.
00:51
The other thing we're given in a total as far as money is the amount of interest that we got.
00:57
And the amount of interest we got was 5 ,160.
01:01
This is the total where we need to apply the percentages to take the interest off the value that we put into these accounts.
01:07
So our x account was 8%, so 0 .08 times x first interest.
01:13
Our y account was 6%, so 0 .06 times y.
01:17
And lastly, our z account, or our last account, third account, was 0 .09 times z.
01:23
The last statement we're given is that the interest from the first investor, was six times the interest from the second.
01:29
So we're comparing x and y, and when we're talking about the interest, we do need to apply that percentage of the investment.
01:36
So 0 .08x and 0 .06y.
01:39
These are the two things that we are comparing and trying to make equal.
01:43
And what we're told is that the interest from the first investment was six times the interest from the second.
01:50
So what we don't want to do is multiply this by six, because if we did that, that would be taking something that's already six times bigger, which is the investment of the first account, and making it six times bigger on top of that, which would make the problem even worse...