SOLUTION: Hello. I was working on algebra and I got caught up one stroy probliem, that involves two variables. The Question is: Melinda Bowen recieves an annual income of $234.50 from inves

Question 77991This question is from textbook Algebra
: Hello.
I was working on algebra and I got caught up one stroy probliem, that involves two variables. The Question is: Melinda Bowen recieves an annual income of $234.50 from investing one amount of money at 6% and another amount at 5%. If the investments were interchanged, her income would increase by$5.10. Find the amounts she invested. When I did it it by 5n+6x=23450. Then 6x=5n-23450. From there I did not know what to do This question is from textbook Algebra

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Melinda Bowen recieves an annual income of $234.50 from investing one amount of money at 6% and another amount at 5%. If the investments were interchanged, her income would increase by$5.10. Find the amounts she invested.
-----------------
Let amount invested at 6% be x Interest on this is 0.06x
Let amount invested at 5% be y Interest on this is 0.05y
EQUATION:
0.06x+0.05y=234.50
Interchanging the investment you get:
0.05x+0.06y=234.50+5.10=239.60
------------------
Rewriting the equations you get:
6x+5y=23450
5x+6y=23960
---------------
Multiply the 1st equation thru by 5 and the 2nd equation thru by 6 to get:
30x+25y=117250
30x+36y=143760
-----------
Subtract the 1st from the 2nd and solve for "y":
11y=26510
y=$2410
-----------
Substitute to be able to solve for "x":
6x+5(2410)=23450
6x+12050=23450
6x=11400
x=$1900
==============
Cheers,
Stan H.
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