Hilda has $210 worth of $10 and $12 stock shares. The number of $10 shares is five more than twice the number of $12 shares. How many of each type of share does she have?

Let's first define variables.

y: number of shares of $ 10

x: number of shares of $ 12

We write the system of equations:

10x + 12y = 210

y = 2x + 5

Solving the system:

x = 75/17

y = 235/17

Answer:

she has:

75/17 shares of $ 12

235/17 shares of $ 10