SOLUTION: Tiana invests $1900 in one account and $1400 in an account paying 3 % higher interest. At the end of one year she had earned $372 in interest. At what rates did she invest?

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Question 978672: Tiana invests $1900 in one account and $1400 in an account paying 3 % higher interest. At the end of one year she had earned $372 in interest. At what rates did she invest?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Tiana invests $1900 in one account at rate x % and $1400 in an account paying 3 % higher interest.
At the end of one year she had earned $372 in interest.
%28x%2F100%291900%2B%28x%2F100%2B3%2F100%291400=372
%28x%2F1%2919%2B%28%28x%2B3%29%2F1%2914=372
19x%2B%28x%2B3%29%2A14=372
19x%2B14x%2B42=372
33x=372-42
33x=330
x=330%2F33
x=10%
and an account paying 3 % higher interest is x%2B3=13%
she invest at 10% and 13%
check:
10% of $1900 is $%2810%2F100%291900=10%2A19=190
13% of $1400 is $%2813%2F100%291400=13%2A14=182
and 190%2B182=372 which confirms our solution