Chelsea invested her savings of $4800. She invested part in a mutual fund that paid 9% interest per year, and the rest went into an account for 10% interest per year. After 1 year, the interest from the mutual fund was $43 less than the interest she earned from the other account. How much did Chelsea invest into each account?

2 answers

.09x = .10(4800-x) - 43
amount invested in mutual fund at 9% : x
amount invested at 10% : 4800-x

interest from the mutual fund = .09x
interest from other account = .10(4800-x)

.10(4800-x) - .09x = 43
multiply by 100
100(4800-x) - 9x = 4300

solve for x