Question 414427
Let the amount of the 5% loan  = {{{x}}}
The amount of the 7.5% loan is {{{11500 - x}}}
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{{{.05x + .075*(11500 - x) = 712.5}}}
{{{.05x + 862.5 - .075x = 712.5}}}
{{{.025x = 862.5 - 712.5}}}
{{{.025x = 150}}}
{{{x = 6000}}}
{{{11500 - x = 5500}}}
The amount of the 5% loan  is $6,000
The amount of the 7.5% loan is $5,500