Respuesta :
Let us assume that the total number of shares (also called the total holdings) held by Live Fund in Marks Brothers is [tex] T [/tex].
Then obviously half the holdings (or half the number of shares) of Live Fund will be [tex] \frac{T}{2} [/tex].
Thus, if each share is valued at $5000, then the total value of the number of shares sold (which is [tex] \frac{T}{2} [/tex] will be:
[tex] 5000\times \frac{T}{2} =2500T [/tex] dollars or $[tex] 2500T [/tex].
Thus, Live Fund will receive $ [tex] 2500T [/tex] if they sold half their holding in Marks Brothers.
The amount would live fund receive if they sold half their holding in Marks Brothers is 2500x.
Given
The live fund is selling its holdings at $5,000 per share.
How to form the expression that models the problem?
To find the number of holding multiply the total amount of holding and sold half their holding in Marks Brothers.
Let us assume that the total number of holdings be x.
If they sold half their holding in Marks Brothers;
Then,
The number of holding becomes half.
[tex]\rm =\dfrac{x}{2}[/tex]
Therefore.
The amount would live fund receive if they sold half their holding in Marks Brothers is;
[tex]\rm = Total \ fund \times Sold \ holding\\\\= 5000\times \dfrac{x}{2}\\\\= 2500 \times x\\\\= 2500x[/tex]
Hence, the amount would live fund receive if they sold half their holding in Marks Brothers is 2500x.
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