Question

Mia wants to deposit $3,886 into savings accounts at three different banks: Bank of the US, 7/4 Bank, and Catch Bank. She will deposit three times as much into Bank of the US as 7/4 Bank because they offer a higher interest rate. She also expects the Catch Bank deposit to be 45% of the total of the other two deposits. How much will Mia deposit into the Catch Bank savings account?

Answer 1

We want a system of equations. Let U = deposit in Bank of the US, S = deposit in 7/4 Bank, and C = deposit in Catch Bank.
U+S+C = $3,886
U=3S
C=45%(U+S)
Fair enough?

Answer 2

but how do i find the value of s?

Answer 3

You will do a series of substitutions. Right now you have 3 equations and 3 unknowns. You want to replace some of the unknowns so you end up with 1 equation with 1 unknown. You can start by replacing U with 3S in the top and bottom equation.

Answer 4

ok thank you