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# Algebra/Alegbra

Question
Aurora invested \$8000 in two stocks. One stock de- creased in value by 8%; the other, by 20%. If she lost a total of \$1000 on these two stocks, how much was invested in the stock that decreased in value by 8%?

I don't know the model I should use to figure problems like these out.

Let the amount invested in the stock that decreased by 8% be x.

Then the amount invested in the stock that decreased by 20% will be 8000-x

Since the total amount lost =1000,

8/100 *x + 20/100 * (8000-x ) =1000

8/100 *x + 1600 - 20/100 x =1000

1600 - 12/100 x =1000

Rearranging the terms gives 12/100 x  = 600

Hence, the amount invested in the stock which decreased in value by 8%
= x = 600 * (100/12) = \$5000 (shown)

Hope this helps. Peace.

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Algebra

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#### Frederick Koh

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