SOLUTION: Matt invested $2000 in stocks and bonds. This year the bonds paid 8% interest and the stocks paid 6% in dividends. Matt received a total of $144 in interest and dividends. Write an

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Matt invested $2000 in stocks and bonds. This year the bonds paid 8% interest and the stocks paid 6% in dividends. Matt received a total of $144 in interest and dividends. Write an      Log On


   



Question 1056454: Matt invested $2000 in stocks and bonds. This year the bonds paid 8% interest and the stocks paid 6% in dividends. Matt received a total of $144 in interest and dividends. Write and solve a system of equations to find how much money was invested in bonds and how much was invested in stocks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested in bonds
+2000+-+x+ = amount invested in stocks
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+.08x+%2B+.06%2A%28+2000+-+x+%29+=+144+
+.08x+%2B+120+-+.06x+=+144+
+.02x+=+24+
+x+=+1200+
and
+2000+-+1200+=+800+
$1,200 was invested in bonds
$800 was invested in stocks
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check:
+.08x+%2B+.06%2A%28+2000+-+x+%29+=+144+
+.08%2A1200+%2B+.06%2A800+=+144+
+96+%2B+48+=+144+
+144+=+144+
OK