Fatuma invests a total of $14,000 in two accounts. The first account earned an annual interest rate of 15% and the second account earned an annual interest of 12%. At the end of one year, the total amount of money gained was $1,815.00. How much was invested into each account? $ was invested in the account that earned 15% and $ was invested in the account that earned 12%.

that’s 5

Step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4