A man 2

A man divides $10,000 into two investments, one at 10% and the other at 30%. Find how much is invested at each rate so that the two investments produce the same income annually.

Correct result:

a =  7500
b =  2500

Solution:

a+b=10000
0.10•a = 0.30•b

a+b = 10000
0.1a-0.3b = 0

a = 7500
b = 2500

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