1-10-35
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If we let X be the amount invested at 11%, then the whole
amount minus the amount invested at 11% as the amount invested at
7%.
So the interest is going to be the percent times the amount
plus the percent times the amount.
So point eleven X + .07 times the quantity 50,000 -.
X Part B says she needs to get 5000 and extra income from both
investments.
So 5000 is going to equal the point 11X plus distributing the
.07, we get 3500 -, .07 X.
Now we just solve for X.
So we're going to subtract 3500, going to combine our X's, divide
by .04.
So we know that 337 thousand 500 is going to get invested at 11
percent and then to find out how much is invested at 7%, we're
going to take that 37,500 away from 50,000 and get one 12,500.