For the following exercises, solve the system for x, y, and z.

A recent college graduate took advantage of his business education and invested in three investments immediately after graduating. He invested $80,500 into three accounts, one that paid 4% simple interest, one that paid 4% simple interest, one that paid 3 1/8 % simple interest, and one that paid 2 1/2 % simple interest. He earned $2,670 interest at the end of one year. If the amount of the money invested in the second account was four times the amount invested in the third account, how much was invested in each account?