A man 2

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

Correct 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

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Do you want to convert time units like minutes to seconds?

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

Related math problems and questions: