Please help with this question

[xsyst]

What is the value of your stock?
A broker has a capital of 5200 in the form of stocks: 9 Aux 3 Btr 3 SST 5 Cin stocks
B broker has a capital 4400in the form of stocks: 8 Aux 2 Btr 3 SST 4Cin stocks
C broker has a capital 5350 in the form of stocks: 10 Aux 3 Btr 2 SST 5 Cin
D company has stocks of 10 Aux 4 Btr 4 SST 4 Cin, what is its capital? and whats is the worth of each stock?

 

[Steven G]

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[HallsofIvy]

First the word is "broker", not "brocker".
If I am reading this correctly, let "A" be the value of "Aux" stocks, "B" be the value of "Btr" stocks, "S" be the value of "Sst" stocks and "C" be the value of "Cin" stocks.

"A broker has a capital of 5200 in the form of stocks: 9 Aux 3 Btr 3 SST 5 Cin stocks"
9A+ 3B+ 3S+ 5C= 5200

"B broker has a capital 4400in the form of stocks: 8 Aux 2 Btr 3 SST 4Cin stocks"
8A+ 2B+ 3S+ 4C= 4400

"C broker has a capital 5350 in the form of stocks: 10 Aux 3 Btr 2 SST 5 Cin"
10A+ 3B+ 2S+ 5C= 5350

That gives three equations in 4 unknowns. We cannot solve for all four of these but we can solve for three of them as functions of the fourth, for example, A as a function of B, S, and C.

"D company has stocks of 10 Aux 4 Btr 4 SST 4 Cin, what is its capital?"
10A+ 4B+ 4S+ 4C.

Normally we could only calculate that as a function of A but it might happen that the "A"s will cancel giving a specific value.

"and what is the worth of each stock?"
Given only three equations in four unknowns so we cannot calculate that.

Is there possibly another condition that you didn't mention?