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kevincan
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1/3[x+12000] = 5/9x is one equation.
Solving you get x=18000.

1/2[x+12000] = 5/9x is another.
Solving for x you get x = 108000.

Now investment in stocks = 3/9*18000 = 6000. [Lower end]
to 3/9*108000 = 36000 [Higher end]

So 6000 to 36000.

Option C is thus the answer.



Sanath777
I did not understand how to solve this. Can you please explain
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Nando has money invested in bonds, stocks, and bitcoin in the ratio 5:3:1, respectively, and he has no other assets besides $12,000 in cash. If no less than \(\tfrac{1}{3}\) and no more than \(\tfrac{1}{2}\) of Nando’s total assets are invested in bonds, which of the following ranges represents all possible amounts of money that Nando has invested in stocks?

A) $2,000 to $12,000
B) $6,000 to $30,000
C) $6,000 to $36,000
D) $6,000 to $40,000
E) $10,000 to $36,000

Suppose Nando has x thousands of dollars invested in bitcoin . Then he has 5x thousands of dollars in bonds and 3x thousands of dollars in stocks : 9x + 12 thousands in assets including cash

Thus 1/3 < \(\tfrac{5x}{9x + 12}\) < 1/2
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