SOLUTION: Problem: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8% he made a total of $770 in interest. How much was investe

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Question 149097: Problem: Walt made an extra $9000 last year from a part-time job. He invested part of the money at 9% and the rest at 8% he made a total of $770 in interest. How much was invested at 8%?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a = amount invested at 9%
b = amount invested at 8%
a+%2B+b+=+9000 and,
a+=+9000+-+b
.09a+%2B+.08b+=+770
.09%2A%289000+-+b%29+%2B+.08b+=+770
810+-+.09b+%2B+.08b+=+770
-.01b+=+-40
b+=+4000
$4,000 was invested at 8%
check answer:
a+%2B+b+=+9000
a+%2B+4000+=+9000
a+=+5000
.09a+%2B+.08b+=+770
.09%2A5000+%2B+.08%2A4000+=+770
450+%2B+320+=+770
770+=+770
OK