Question 5956
it loaned x dollars that paid 11% of x in a year, and y dollars that paid 6% per year. Total amount paid was $4800. Written in algebra language:

0.11x + 0.06y = 4800

We also know that bank had 55000 total. 

x+y=55000

we have a linear system:

{{{system( 0.11x+0.06y = 4800, x+y=55000 ) }}}

we can solve it:

*[invoke linear "x", "y", 0.11, 0.06, 4800, 1, 1, 55000 ]

x=30000 is what was loaned at 11%.