Problema Solution

Phyllis invested $50,000 in two different types of stocks. The first type earned 10% interest, and the second type earned 15% interest. If the 15% interest stock earned $2500 more than the 10% stock, how much did Phyllis invest in the 15% stock?

Answer provided by our tutors

let


x = the money invested at 10%

y = the money invested at 15%


Phyllis invested $50,000 in two different types of stocks


x + y = 50000


the 15% interest stock earned $2500 more than the 10% stock


0.15y = 2500 + 0.10x


by solving the system of equations


x + y = 50000

0.15y = 2500 + 0.10x


we find


x = $20,000


y = $30,000


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Phyllis invested $30,000 at 15% interest stock.