SOLUTION: Emma has money in two savings accounts. One rate is 5% and the other is 11%. If she has $300 more in the 11% account and the total interest is $ 137, how much is invested in each s

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Question 1000555: Emma has money in two savings accounts. One rate is 5% and the other is 11%. If she has $300 more in the 11% account and the total interest is $ 137, how much is invested in each savings account.
Answer by mananth(16946) About Me  (Show Source):
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Emma has money in two savings accounts. One rate is 5% and the other is 11%. If she has $300 more in the 11% account and the total interest is $ 137, how much is invested in each savings account

Emma has money in two savings accounts.
One rate is 5% let this amount be x
and the other is 11%. The amount here is x+300
the total interest is $ 137,
5%x + 11%(x+300) = 137
multiply by 100
5x +11(x+300) = 13700
5x +11x + 3300 = 13700
16x = 13700-3300
16x = 10,400
x = 10400/16

Amount at 5% = 650
Amount at 11% = 650+300 = 950
Check
650*0.05 + 950*0.11=137


how much is invested in each savings account