algebra word problem

Question

Edna Britten's income from two stocks each year totals $280. Stock A pays dividends at the rate of 5% and Stock B pays at the rate of 6%. If she has invested a total of $5,000, how much has she invested in each stock?

Answer 1

5% = .05 = 1/20

6% = .06 = 6/100= 3/50

.05A + .06B = 280

A/20 + 3B/50 = 280

A+B = 5000

divide by 20 and subtract from A/20 +3B/50 = 280

A/20 + B/20 = 250

leaving

3B/50 - B/20 = 30

6B/100 -5B/100 = 30

multiply by 100

6B-5B = 3000

B = 3000

A = 5000-B = 5000-3000 = 2000

Answer 2

A + B = 5000

.05A + .06B = 280

.05A + .05B = 250

subtract the two lines above

.01B = 30

B = $3000

A = 5000-B = 5000-3000 = 2000

A = $2000