please help i am stuck!

Question

Mary Jo spends $2,050 to buy stock in two companies. She pays $16 a share to one of the companies and $11 a share to the other. If she ends up with a total of 150 shares, how many shares did she buy at $16 a share and how many did she buy at $11 a share?

Answer 1

If x = # of $16 shares

y = # of $11 shares

Then

x + y = 150

16x + 11y = 2050

Solving these together, you find that x = 80

y = 70