Question

Mary Jo spends $2,300 to buy stock in two companies. She pays $19 a share to one of the companies and $24 a share to the other. If she ends up with a total of 100 shares, how many shares did she buy at $19 a share and how many did she buy at $24 a share?

She bought ____ shares at $19 and ___ shares at $24.

Answer 1

She bought _20___ shares at $19 and _80__ shares at $24.

Explanation:

x + y = 100

19x + 24y = 2300

-19x - 19y = -1900

5y = 400

y = 80

x + 80 = 100

x = 20

She bought _20___ shares at $19 and _80__ shares at $24.