Problema Solution

A credit union loaned out $50,000, part at an annual rate of 5% and rest at an annual rate of 8%. They collected combined simple interest of $3,400 from the loans that year. How much was loaned out at each rate?

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A credit union loaned out $50,000, part at an annual rate of 5% and rest at an annual rate of 8%. They collected combined simple interest of $3,400 from the loans that year. How much was loaned out at each rate?

Solution:

5% rate: x

8% rate: y

So

x+y=50000

5%x+8%y = 3400

So

x=20000

y=30000

So

5% rate: $20,000

8% rate: $30,000