Last year, juan had $30,000 to invest. he invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 9% simple interest per year. after one year, he received a total of $2320 in interest. how much did he invest in each account?

Let x be the amount invested at 7%, leaving 30000-x to be invested at 9%.

The equation is

2320 = 0.07 x + 0.09 (30000 - x)

2320 = -0.02 x + .09(30000)

0.02 x = .09(30000) - 2320

x = ( .09(30000) - 2320) / .02

x = 19000

$19000 at 7%, $11000 at 9%

Check:

19000(.07)+11000(.09) = 2320, good

i don't even know man. edge inuity be messing with us. i had to ask a question too.

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent