Kelly sells 70 shares of stock she owns for a total of $480. If the stock was in two different companies, one selling at $4.50 a share and the other at $8.25 a share, how many of each did she sell?
A)26 at $4.50 and 44 at $8.25
B)30 at $4.50 and 40 at $8.25
C)22 at $4.50 and 48 at $8.25
D)29 at $4.50 and 41 at $8.25
E)23 at $4.50 and 47 at $8.25

Question

Quizplus · Accepted Answer

Let x be the number of shares sold at $4.50 and y be the number of shares sold at $8.25. We have the following system of equations:x + y = 704.50x + 8.25y = 480Solving this system of equations gives x = 26 and y = 44. Therefore, Kelly sold 26 shares at $4.50 and 44 shares at $8.25.

Kelly Sells 70 Shares of Stock She Owns for a Total