SOLUTION: Mahmoud invested 6000 in two accounts, some of it at 2% simple interest, the rest in an account earning 4% simple interest. How much did he invest in each account if he earned $190

Algebra ->  Equations -> SOLUTION: Mahmoud invested 6000 in two accounts, some of it at 2% simple interest, the rest in an account earning 4% simple interest. How much did he invest in each account if he earned $190      Log On


   



Question 1129228: Mahmoud invested 6000 in two accounts, some of it at 2% simple interest, the rest in an account earning 4% simple interest. How much did he invest in each account if he earned $190 in interest after a year?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let P = amount invested @ 2%
+6000+-+P+ = amount invested @ 4%
Let +I+ = interest earned from 2% account
+190+-+I+ = interest earned from 4% account
-------------------------------------------------------
(1) +I+=+P%2A.02%2A1+
(2) +190+-+I+=+%28+6000+-+P+%29%2A.04%2A1+
---------------------------------------------
(2) +190+-+I+=+240+-+.04P+
(2) +.04P+=+I+%2B+50+
Plug (1) into (2)
(2) +.04P+=+.02P+%2B+50+
(2) +.02P+=+50+
(2) +P+=+2500+
+6000+-+P+=+3500+
and
(1) +I+=+.02%2A2500+
(1) +I+=+50+
--------------------------
check:
(2) +190+-+50+=+%28+6000+-+2500+%29%2A.04+
(2) +140+=+3500%2A.04+
(2) +140+=+140+
OK