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Raoul invested $40,000 in two different types of bonds. The first type earned 4% and the second type earned 5%. If the profit (interest) on the 5% bonds was $200 more than the profit on the 4% bonds, how much did Raoul invest in the 5% bonds?

 Jun 28, 2016
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Raoul invested $40,000 in two different types of bonds. The first type earned 4% and the second type earned 5%. If the profit (interest) on the 5% bonds was $200 more than the profit on the 4% bonds, how much did Raoul invest in the 5% bonds?

 

A + B = 40000   (1a)

5A+5B = 200,000  (1b)

 

5% of A - 4% of B = 200

0.05A - 0.04B = 200    (2a)

5A-4B = 20,000   (2b)

 

(1b) - (2b) 

9B = 180,000

B = 20,000

A= 20,000

 

Raoul invested $20,000 in each of the bonds

 Jun 28, 2016

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