SOLUTION: Winston borrowed $4000 in two loans. One loan charged 7% interest and the other charged 1.5% interest. After 1 year, Winston paid $225 in interest. Find the amount borrowed in each

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Question 584953: Winston borrowed $4000 in two loans. One loan charged 7% interest and the other charged 1.5% interest. After 1 year, Winston paid $225 in interest. Find the amount borrowed in each loan.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount borrowed @ 7%
Let +b+ = amount borrowed @ 1.5%
given:
(1) +.07a+%2B+.015b+=+225+
(2) +a+%2B+b+=+4000+
-----------------
(1) +70a+%2B+15b+=+225000+
(1) +14a+%2B+3b+=+45000+
Multiply both sides of (2) by 3
and subtract (2) from (1)
(1) +14a+%2B+3b+=+45000+
(2) +-3a+-+3b+=+-12000+
+11a+=+33000+
+a+=+3000+
and
(2) +3000+%2B+b+=+4000+
(2) +b+=+1000+
$3,000 was borrowed @ 7%
$1,000 was borrowed @ 1.5%
check:
(1) +.07a+%2B+.015b+=+225+
(1) +.07%2A3000+%2B+.015%2A1000+=+225+
(1) +210+%2B+15+=+225+
(1) +225+=+225+
OK