Question 722551
Total Principal = $39000
Total interest paid = $4860

Simple interest = I = PTR/100

let 'x' be the amount invested in first account with 14% interest
and 39000 - x is the amount invested in 2nd account with 11%

I1 = x * 14/100
I2 = (39000-x)*11/100

I1+I2 = (1/100) *(14x + 429000 - 11x ) = (1/100)*(3x + 429000) = 4860

3x = 486000 - 429000 = 57000 or x = 19000  and 39000-x = 20000

Therefore, Juan invested $19000 in first and $20000 in the 2nd account respectively