SOLUTION: Rosa invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit. If the profit on the 10% bonds was $1,000 more than the profit on th

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Question 1158915: Rosa invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit. If the profit on the 10% bonds was $1,000 more than the profit on the 6% bonds, how much did Rosa invest in the 6% bonds?
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Rosa invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit.
If the profit on the 10% bonds was $1,000 more than the profit on the 6% bonds, how much did Rosa invest in the 6% bonds?
:
Let a = amt invested at 6%
the total amt is 15000, therefore
(15000-a) = amt invested at 10%
:
return at 10% - return at 6% = 1000
.10(15000-a) - .06a = 1000
1500 - .10a - .06a = 1000
-10a - .06a = 1000 - 1500
-.16a = -500
a = -500/-.16
a = $3125 invested at 6%
:
:
Check: 15000 - 3125 = $11,875 invested at 10%
.10(11875) = 1187.50
.06(3125) = 187.50
-------------------------subtraction
. .... . . . . . 1000
.
Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

Rosa invested some of her $15,000 in bonds that made a 6% profit and the rest in bonds that made a 10% profit. If the profit on the 10% bonds was $1,000 more than the profit on the 6% bonds, how much did Rosa invest in the 6% bonds?
Let amount invested in the 6%-bonds, be S 

Then amount invested in 10%-bonds is 15,000 - S

Then we get the following EARNINGS equation: .06S = .1(15,000 - S) - 1,000

.06S = 1,500 - .1S - 1,000

.06S + .1S = 1,500 - 1,000

.16S = 500

Amount invested in the 6%-bonds, or  

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