Question
Jon invested a total of $40,000 in 3 different bank accounts. One pays an annual interest rate of 3%, the second account pays 5% annual interest and the third account pays 6% annual interest. In one year, Jon earned a total of $1960 in interest from these 3 accounts. If Jon invested $8000 more in the account that pays 5% interest than the account that pays 6% interest. Find the amount that she invested in each amount.
(I have been having trouble solving this problem, can someone help me solve this step by step. THANK YOU.)
(I have been having trouble solving this problem, can someone help me solve this step by step. THANK YOU.)
Answers
let x be 3%, y be 5%, and z be 6%
x + y + z = 40000
3 x + 5 y + 6 z = 196000
y = z + 8000
use the 1st two equations to eliminate x
then substitute for y to find z
substitute back to find x and y
x + y + z = 40000
3 x + 5 y + 6 z = 196000
y = z + 8000
use the 1st two equations to eliminate x
then substitute for y to find z
substitute back to find x and y
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