Alexander B. answered • 10/28/15

PhD in Engineering with 20 Years of Software Development (C, Java)

Let's assume the amounts deposited in the 1st and second accounts are X and Y. Then, the amount deposited in 3rd account would be apparently: 54,000-X-Y. Also, for simplicity, let's convert the % into decimals dividing by 100. Based on this assumption, we can write the following system of 2 linear equations:

0.045X + 0.07Y + 0.15(54000-X-Y)=4275

0.15(54000-X-Y) = 0.045X + 0.07Y + 75

In canonical form:

0.105X + 0.08Y = 3825

0.195X + 0.22Y = 8025

This system of linear equations can be solved using online solver: http://examn8.com/SystemOfEquations.aspx

The results are:

**X = $26,600**(amount deposited in the 1st account),**Y=$12,900**((amount deposited in the 2nd account). Amount deposited in the 3rd account is: (54000-26600-12900)=**$14,500**Hope this will help.