SOLUTION: divide 4500 into two parts such that 5% of first part is equal to 10% of second

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Question 459215: divide 4500 into two parts such that 5% of first part is equal to 10% of second
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I'll call the parts a and b
(1) +a+%2B+b+=+4500+
given:
+.05a+=+.1b+
+5a+=+10b+
(2) +a+=+2b+
Substitute (2) into (1)
(1) +2b+%2B+b+=+4500+
(1) +3b+=+4500+
(1) +b+=+1500+
and
(1) +a+%2B+b+=+4500+
(1) +a+%2B+1500+=+4500+
(1) +a+=+3000+
check answers:
+.05a+=+.1b+
+.05%2A3000+=+.1%2A1500+
+150+=+150+
OK