Question 1149106
interest in first part is 3000*p+2000*q=64000, because I multiplied the interest by 10 to make it an integer
this is 3p+2q=64
the second is 2000*p+3000q=66000
2p+3q=66; multiply top by 2 and bottom by -3
6p+4q=128
-6p-9q=-198
-5q=-70
q=14%
p=12% substituting

5000*0.14*2=$1400 earned at a 14% rate.