Question 229043
<hr />We don't know how much is in either account.  We do know that both accounts total $10,000.


Amount in first account:  x
Amount in second account:  10000-x


The dividends from the first account will be 2% of "x", and from the second account, they'll be 4% of "10000-x".


0.02x
0.04(10000-x)


The total dividends are $320.


0.02x + 0.04(10000-x) = 320
0.02x + 400 - 0.04x = 320 (distributed 0.04)
-0.02x + 400 = 320 (combines like terms, "x")
-0.02x = -80 (subtracted 400 from both sides)
x = -80/-0.02 (divided both sides by -0.02)
x = 4000


So, there is $4000 in the first account, and looking back at the question, that's what it was asking.  Done!


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