SOLUTION: Could someone please help me soldve this question, I am really trying to assistanace my daughter in her Algebra. Thanks. Anthony invested part of his $12,000 inheritance in a b

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Question 214074: Could someone please help me soldve this question, I am really trying to assistanace my daughter in her Algebra. Thanks.
Anthony invested part of his $12,000 inheritance in a bond paying 9% and the other part in savings account paying 6%. If his interest from the two investments was $930 in the first year, how much did he have invested at each rate?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let b = dollars invested in bond
Then 12000+-+b will equal dollars invested in savings
given:
Interest earned from bond = .09b
Interest earned from savings = .06%2A%2812000+-+b%29
.09b+%2B+.06%2A%2812000+-+b%29+=+930
-----------------------------------
Solve the equation for b
.09b+%2B+720+-+.06b+=+930
Subtract 720 from both sides
.09b+-+.06b+=+930+-+720
.03b+=+210
b+=+7000
and
12000+-+b+=+12000+-+7000
12000+-+b+=+5000
Anthony invested $7,000 in the bond and $5,000 in savings
check the answer:
.09b+%2B+.06%2A%2812000+-+b%29+=+930
.09%2A7000+%2B+.06%2A5000+=+930
630+%2B+300+=+930
930+=+930
OK