Question 976729
x = amount of money invested at 6%
y = amount of money invested at 7.5%


x+y = 100,000
y = 100,000 - x


Interest Earned for the 6% account = 0.06x
Interest Earned for the 7.5% account = 0.075y = 0.075(100,000 - x) = 7500 - 0.075x


Add up the amounts:
0.06x+0.075x = 0.135x


So we can get as far as 0.135x. We can't go any further unless we know either x or y.