SOLUTION: An investment of &#8203;$92 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&#820

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Question 1130191: An investment of $92 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 $ 7200. The interest from the first investment was 4 times the interest from the second. Find the amounts of the three parts of the investment.
Answer by greenestamps(13367) (Show Source):
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The amount of interest from the part at 8% was 4 times the amount of interest from the part at 6%. The 8% rate is 4/3 of the 6% rate; to get 4 times as much interest, using an interest rate that is 4/3 as large, the amount at 8% must be 3 times the amount at 6%. So

let x = amount at 6%
then 3x = amount at 8%
and (92000-4x) = amount at 9%

The total interest was $7200:

ANSWER: The amounts invested at each rate were

6%: x = $18000
8%: 3x = $54000
9%: $92000-4x = $20000

CHECK:

SOLUTION: An investment of &#8203;$92 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&#820

SOLUTION: An investment of $92 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&#820