SOLUTION: A man lends some money at 4% and an equal amount at 2.5%. If the income from the 2.5% loan is 7,500 less than the 4% loan, how much money did the man loan at each rate?

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Question 793825: A man lends some money at 4% and an equal amount at 2.5%. If the income from the 2.5% loan is 7,500 less than the 4% loan, how much money did the man loan at each rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount loaned @ 4%
+x+ = amount loaned @ 2.5%
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given:
+.025x+=+.04x+-+7500+
+.04x+-+.025x+=+7500+
+.015x+=+7500+
+x+=+500000+
He loaned $500,000 at each rate
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check:
+.025x+=+.04x+-+7500+
+.025%2A500000+=+.04%2A500000+-+7500+
+25%2A500+=+40%2A500+-+7500+
+12500+=+20000+-+7500+
+12500+=+12500+
OK