n investment of $93 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 7110. The interest from the first investment was 3 times the interest from the second. Find the amounts of the three parts of the investment.

Question

n investment of $93 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned 8% interest, the second 6%, and the third 9%. Total interest from the investments was $ 7110. The interest from the first investment was 3 times the interest from the second. Find the amounts of the three parts of the investment.

What is the amount of the first part of the investment? $
nothing

Answer 1

Translation into English:

An investment of $93,000 was made by a business club
-first investment paid 8%, let it be x
-2nd investment paid 6% , let it be y
- 3rd investment paid 9% , let it be z
but x = 3y
so x + y + z = 93000
3y + y + z = 93000
z = 93000 - 4y

.08x + .06y + .09z = 7111
times 100
8x + 6y + 9z = 711100
24y + 6y + 9(93000 - 4y) = 711100

solve for y, then you can find x and z

Answer 2

amounts a , b and c

a + b + c = 93000
.08 a + .06 b + .09 c = 7110
.08 a = 3 * .06 b ....... so b = .444 a
now
a + .444 a + c = 93000
.08 a + .06*(.444)a +.09 c = 7110
divide the second one by .09
1.444 a + c = 93000
1.185 a +c = 79000
----------------------------subtract
.259 a = 14000
a = 54,054

Answer 3

Let's represent the amount of the first part of the investment as "x" dollars.

The second part of the investment would be (x/3), since the interest from the first investment is 3 times the interest from the second.

And the third part of the investment would be (93,000 - x - x/3) dollars, since the total investment is $93,000 and we have already accounted for the first and second parts of the investment.

Now, let's calculate the interest earned from each part of the investment:

Interest from the first part = x * 8/100 = 0.08x dollars
Interest from the second part = (x/3) * 6/100 = 0.02x dollars (since 6% is equivalent to 6/100 or 0.06)
Interest from the third part = (93,000 - x - x/3) * 9/100 = (93,000 - x - x/3) * 0.09 dollars

According to the problem, the total interest earned is $7,110. Therefore, we can set up the following equation:

0.08x + 0.02x + (93,000 - x - x/3) * 0.09 = 7110

Now we can solve this equation to find the value of x, which represents the amount of the first part of the investment.