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sjuniv32
Andrew had several shares of stock at the beginning of Monday. During the morning on Monday, he sold 2/3 of these shares, and in the afternoon on Monday, he sold 5/6 of his remaining shares. If he did not buy any shares during Monday, what was the ratio of the number of shares that Andrew sold Monday morning to the number of shares he sold Monday afternoon?

A) 2 to 5

B) 4 to 5

C) 5 to 4

D) 12 to 5

E) 5 to 1
Solution:

Andrew sold 2/3 of his stocks on Monday morning and 5/6 x (1 - 2/3) = 5/6 x 1/3 = 5/18 of his stocks on Monday afternoon. Therefore, the ratio in question is 2/3 : 5/18 = 12 : 5.

Alternate Solution:

Let’s assume that Andrew originally had 90 shares of stock. On Monday morning, he sold 2/3 x 90 = 60 shares, and he had 30 shares remaining. On Monday afternoon he sold 5/6 x 30 = 25 shares. Thus, the ratio of the number of shares sold on Monday morning to the number of shares sold on Monday afternoon is 60 : 25, which reduces to 12 : 5.

Answer: D
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