A man 2

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

Final Answer:

a =  7500
b =  2500

Step-by-step explanation:


a+b=10000
0.10·a = 0.30·b

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

Row 2 - 0.1 · Row 1 → Row 2
a+b = 10000
-0.4b = -1000


b = -1000/-0.4 = 2500
a = 10000-b = 10000-2500 = 7500

a = 7500
b = 2500

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You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem

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