second question: DOCTOR d has a total of 3000 invested in 2 stocks,stock a dividends at the rate of 6% , stock b at 8%.Her dividends from both 2 stocks is 220 per year,how much did she invest in both stock a and b

Question

second question: DOCTOR d has a total of 3000 invested in 2 stocks,stock a dividends at  the rate of 6% , stock b at 8%.Her dividends from both 2 stocks is 220 per year,how much did she invest in both stock a and b

anonymous · Answer

Letting a = stock a and b = stock b
a + b = 3000
.06a + .08b = 220

a = 3000- b
.06(3000 - b) + .08b = 220
180 - .06b + .08b = 220
.02b = 40
b = 2000
a = 1000