Problema Solution

An investor has $10,000 invested in two stocks. If one stock pays 15% and the other pays 16%, and the total annual income is $1520, how much is invested in each.

Answer provided by our tutors

Let


x = the money invested in the first stock that pays 15%

y = the money invested in the second stock that pays 16%


An investor has $10,000 invested in two stocks:


x + y = 10000


15% of x + 16% of y = total income of $1520


0.15*x + 0.16*y = 1520


Lets solve the system of equations


x + y = 10000

0.15*x + 0.16*y = 1520


we find


x = $8000


y = $2000


$8,000 were invested in the first stock and $2,000 in the second stock.