Problema Solution

katia earned $12000 last years by giving tennis lesson. she invested part at 3% simple intrest and the rest at 4% simple intrest. in one year she earned $440 in intrest. how many dollars did she invest at 3%

Answer provided by our tutors

suppose x at 3% interest and 12000-x at 4% interest

we know that total interest is 440

now

3% of x + 4% of (12000-x) = 440

0.03x + 0.04 * 12000 - 0.04 x = 440

480 -0.01x =440

40 / 0.01 = x

x= 4000

so $4000 she invest at 3% and $8000 at 4% interest