SOLUTION: Maria was reviewing investment results. The account balance at the start of the year was $6700. The account earned $619. She had 3 investments: Bond fund(5% return), balance fund(8

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Question 199173: Maria was reviewing investment results. The account balance at the start of the year was $6700. The account earned $619. She had 3 investments: Bond fund(5% return), balance fund(8% return), and aggressive fund(12% return). She had $300 fewer than she did in balance and bond combined. How much did she have invested in the aggressive fund?
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Maria was reviewing investment results. The account balance at the start of
the year was $6700. The account earned $619. She had 3 investments:
Bond fund(5% return), balance fund(8% return), and aggressive fund(12% return).
She had $300 fewer than she did in balance and bond combined.
How much did she have invested in the aggressive fund?
:
Three funds:
a = bond (5%)
b = balance (8%)
c = aggressive (12%)
:
Total invested equation:
a + b + c = 6700
:
"Aggressive had $300 fewer than she did in balance and bond combined."
c + 300 = a + b
:
Looking at these two equation, we can replace a + b with (c+300)
c + 300 + c = 6700
2c = 6700 - 300
2c = 6400
c = 6400%2F2
c = $3200 in the Aggressive fund