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

Answer:

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

Step-by-step 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