Lydia has money in two savings accounts. One rate is 5% and the other is 10%. If she has $350 more in the 10% account and the total interest is $347, how much is invested in each savings account?

Answer 1

.1(x +350)+ .05(x) = 347

x =$2080 invested at 10%

x+350 = $2430 invested at 5%

.1(2430) = 243

.05(2080) = 104

243+104=347

total invested: 2080+2430 = 4510

average return: 347/4510= about 7.7%

5 is within 2.7 of 7.7

10 is within 2.3 of 7.7

2.3/2.7 = about 0.85 = 2080/2430