Math Help Please

Question

You invested $25,000 in two accounts paying 7% and 8% annual interest, respectively.
If the total interest earned for the year was $1830, how much was invested at each rate?

Answer 1

.08X + (25-X).07 = 1.83

.01X = 1.83 - 1.75 = 0.08

X = .08/.01 = 8 thousand = $8000 invested at 8%

25-8 = $17,000 invested at 7%

1.83/25 = 7.32% average return It's closer to 7 than 8 so you know you need more invested at 7% than 8%