SOLUTION: An inheritance is divided into two investments. One investment pays 7% annual interest whereas the second investment, which is twice as large as the first, pays 10% annual interest

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Question 104022: An inheritance is divided into two investments. One investment pays 7% annual interest whereas the second investment, which is twice as large as the first, pays 10% annual interest. If the combined annual income from both investments is $4050, how much money is the total inheritance?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's name the two investments A and B.
Write down what you know.
"second investment, which is twice as large as the first"
1.B=2A
Rates and annual income...
2.0.07%2AA%2B0.10%2AB=4050
Substitute equation 1 into 2.
0.07%2AA%2B0.10%2AB=4050
0.07%2AA%2B0.10%2A%282A%29=4050
0.07%2AA%2B0.20%2AA=4050
0.27%2AA=4050
A=15000
Substitute your result into equation 1.
B=2A
B=2%2815000%29
B=30000
Check your answer
7% annual interest from $15,000 equals
%280.07%29%2815000%29=+1050
10% annual interest from $30,000 equals
%280.10%29%2830000%29+=+3000
1050%2B3000=4050
4050=4050
Good answer.