SOLUTION: blake has a total of $1200 to invest into 2 accounts. one account earns 6% simple interest and the other earns 7% simple interest. how much should be invested into both accounts to

Algebra ->  Inverses -> SOLUTION: blake has a total of $1200 to invest into 2 accounts. one account earns 6% simple interest and the other earns 7% simple interest. how much should be invested into both accounts to      Log On


   



Question 212894: blake has a total of $1200 to invest into 2 accounts. one account earns 6% simple interest and the other earns 7% simple interest. how much should be invested into both accounts to earn exactly $79 at the end of year 1?
? 6% account ? 7% account

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = amount invested in 6% account
Let b = amount invested in 7% account
given:
(1) a+%2B+b+=+1200
(2) .06a+%2B+.07b+=+79
Multiply both sides of (2) by 100
(1) a+%2B+b+=+1200
(2) 6a+%2B+7b+=+7900
Multiply both sides of (1) by 6 and
subtract (1) from (2)
(2) 6a+%2B+7b+=+7900
(1) -6a+-+6b+=+-7200
b+=+700
And, since a+%2B+b+=+1200,
a+=+1200+-+700
a+=+500
$500 should be invested @ 6%
$700 should be invested @ 7%