document.write( "Question 192972: A college used a $9000 give from an alumnus to make 2 students loans. the first was at 4% annual interest to an accounting major. The second was as 6% annual interest to a nursing student. If the college collected $470 in interest the first year, how much was loaned to each student? I=prt \n" ); document.write( "
Algebra.Com's Answer #144833 by bhayzone(8)![]() ![]() ![]() You can put this solution on YOUR website! Create equations from the given info.\r \n" ); document.write( "\n" ); document.write( "Let, \n" ); document.write( "A = loan amount to 1st student, \n" ); document.write( "B = loan amount to 2nd student,\r \n" ); document.write( "\n" ); document.write( "X+Y = 9000 ------------- EQ1\r \n" ); document.write( "\n" ); document.write( "Also, we know the annual interest rates and that the total interest collected in one year is 470 \n" ); document.write( "A*4% + B*6% = 470 \n" ); document.write( "0.04A + 0.06B = 470 \n" ); document.write( "4A + 6B = 47000 \n" ); document.write( "2A + 3B = 23500 --------- EQ2\r \n" ); document.write( "\n" ); document.write( "Solve EQ1 and EQ2 for A and B \n" ); document.write( "Answer: A=3500, B=5500 \n" ); document.write( " |