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Of the shares of stock owned by a certain investor, 30 percent are shares of Company X stock and 1/7 of the remaining shares are shares of Company Y stock. How many shares of Company X stock does the investor own?
A) The investor owns 100 shares of Company Y stock.
B) The investor owns 200 more shares of Company X stock than of Company Y stock.

Respuesta :

Answer:

A) 300 shares

B) 300 shares

Explanation:

Let the total shares owned be 'S'

Data provided in the question:

Shares of Company X stock = 30% of S = 0.3S

Shares of Company Y stock = [tex]\frac{1}{7}[/tex] of remaining stock

i.e [tex]\frac{1}{7}[/tex] of (S - 0.3S) = [tex]\frac{1}{7}[/tex] of 0.7S = 0.1S

Now,

A) The investor owns 100 shares of Company Y stock.

This mean

0.1S = 100

Therefore,

S = 1000 shares

Hence,

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

This means

0.3S = 200 + 0.1S

or

0.3S - 0.1S = 200

or

0.2S = 200

or

S = 1000 shares

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300

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