Answer:2750
Explanation:
let x be the amount in the 8% account and y be the amount in the 9% account, then:
8%x + 9%y = 500 (1)
now we can take another equation by solving for the sum of the money in both accounts:
x + y = 6000 (2)
multiplying equation (1) by 9 and subtracting that from equation (1) multiplied by 8 gives us:
9%x - 8%y = 500
or
(y-x)/y = 1/8
solving for y gives us:
y = 11/8x
substituting into equation (2) gives:
x + (11/8)x = 6000
solving for x gives:
x = 2000
thus, y = (11/8)*2000 = 2750