Write the equation by adding the total values of each type of share.
10(2t+5)+12t=210
We can solve this equation for t to find the number of $12 shares.
10(2t+5)+12t=210
20t+50+12t=210
32t=160
t=5
So, the number of $12 shares is 5. Since the number of $10 shares is 5 more than twice the number of $12 shares, the number of $10 shares is 2(5)+5=15.
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