math problem solving

Question

You invested money in two funds. Last​ year, the first fund paid a dividend of​ 9% and the second a dividend of​ 3%, and you received a total of

​$921.

This​ year, the first fund paid a​ 10% dividend and the second only​ 1%, and you received a total of

​$818.

How much money did you invest in each​ fund?

Answer 1

.09x + .03y = 921

.

.1x + .01y = 818

.3x + .03y = 2454

.09x +.03y= 921

subtract to get

.21x = 1533

x = 1533/.17 = $7300 invested 1st year at 9% then 10% 2nd year

y =(818 -730)/.01 = 88/.01 = $8800 invested at 3% 1st year and at 1% 2nd year

.09(7300) + .03(8800) = 657 + 264 = 921

,1(7300) + .01(8800) = 730 + 88 = 818