Math problem percent of stock?

Question

George owns 200 shares of stock, 40% of which are in the computer industry. How many more shares must he buy in order to have 50% of his total shares in computers?

Answer 1

Forty.

120 shares of computer stock, 240 shares altogether.

Answer 2

40

Answer 3

First you have to figure out how many stocks he has of each.

He has 40% of 200 in tech, which means he has 80 tech stocks.

That leaves 120 of everything else. So you need 120 to get 50%.

In order to add up to 120, you'll need to by 40 more tech stocks.

So the answer is 40.

Answer 4

So right now, there are 200 shares of stock and 80 (40%) are computer stocks. Let x be the number of additional computer stocks he buys.

So, we want (80 + x)/(200 + x) = 0.50

Total computer stocks (80 + x) divided by total stocks (200 + x) needs to be 50% = 0.50.

So we solve for x, 80 + x = 100 + 0.50x

80 + 0.5x = 100

0.5x = 20

x = 40

Therefore, George should buy 40 additional shares of computer stock.

Hope that helps.