SOLUTION: Mrs. Pasternak invested $100,000 in two different healthcare companies. The first earned a 6%^ profit, and the second earned a 12% profit. If Mrs. Pasternak made 2 times as much pr

Question 144936This question is from textbook Teaching Textbooks Alg 1
: Mrs. Pasternak invested $100,000 in two different healthcare companies. The first earned a 6%^ profit, and the second earned a 12% profit. If Mrs. Pasternak made 2 times as much profit from the 12% investment as she did from the 6% investment, how much did she invest in the company that made 6%.
I know x is the amount she invested at 6% (.06x) and it should be .12(100,000-x) for the 12% investment , but what is throwing me is the 2 times as much profit. I tried it many ways and can't get the right answer.
Thanks! This question is from textbook Teaching Textbooks Alg 1

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mrs. Pasternak invested $100,000 in two different healthcare companies. The first earned a 6%^ profit, and the second earned a 12% profit. If Mrs. Pasternak made 2 times as much profit from the 12% investment as she did from the 6% investment, how much did she invest in the company that made 6%.
I know x is the amount she invested at 6% (.06x) and it should be .12(100,000-x) for the 12% investment , but what is throwing me is the 2 times as much profit.
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Interest: 0.06x
Interest: 0.12(100,000-x) = 12000-0.12x
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EQUATION:
12000-0.12x = 2(0.06x)
0.24x = 12000
x = $50,000 (amount invested at 6%)
100,000-50000 = $50,000 (amount invested at 12%)
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Cheers,
Stan H.
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