Problema Solution

Tyler has two savings accounts that his grandparents opened for him. The two accounts pay 10% and 12% in annual interest; there is $500 more in the account that pays 12% than there is in the other account. If the total interest for a year is $214, how much money does he have to each account?

Answer provided by our tutors

let 'x' represent the amount earning 10%, then 'x+500' represents the amount earning 12%


interest = principal * rate * time

we assume time is equal to 1

214 = 0.10x + 0.12(x+500)

solving for 'x' we have x=700


700+500 = 1200


Tyler has $700 earning 10% and $1,200 earning 12%