SOLUTION: Mary Poppins invests a total of $13,500 in two savings accounts. One pays 2% annual interest and the other pays 3% annual interest. If her total annual interest is $352.70, how muc

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Question 159497: Mary Poppins invests a total of $13,500 in two savings accounts. One pays 2% annual interest and the other pays 3% annual interest. If her total annual interest is $352.70, how much did she invest in each account?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let's appoint the 2 savings accounts as S%5BA%5D & S%5BB%5D.
S%5BA%5D=x, money put down on A account with 2% Annual Interest
S%5BB%5D=13500-x,money put down on B account with 3% Annual Interest
So,
0.02x%2B0.03%2813500-x%29=352.70 ---------------------> working eqn
0.02x%2B405-0.03x=352.70
405-352.70=0.03x-0.02x
52.3=0.01x ----> cross%2852.3%295230%2Fcross%280.01%29=cross%280.01%29x%2Fcross%280.01%29
x=5230 -----------------------> Amount invested on S%5BA%5D
13500-5230=8270 --------------> Amount invested on S%5BB%5D
In doubt? go back working eqn:
0.02%285230%29%2B0.03%288270%29=352.70
104.60%2B248.10=352.70
352.70=352.70
Thank you,
Jojo