Question

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?

Answer 1

15 | 10-dollar shares, 5 | 12- dollar shares

Explanation:

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.

Hilda bought 5 $12 shares and 15 $10 shares.

Answer 2

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