Let's denote the total sum of money that Shilongo has as \( x \).
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Shilongo gave half of this amount to his wife: \[ \text{Amount given to wife} = \frac{x}{2} \]
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After giving half to his wife, the remaining amount is: \[ \text{Remainder} = x - \frac{x}{2} = \frac{x}{2} \]
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Shilongo then gave N$ 800 to his son Andrew, which is one third of the remainder: \[ \frac{1}{3} \cdot \left(\frac{x}{2}\right) = 800 \]
To find \( x \), we set up the equation: \[ \frac{x}{6} = 800 \]
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To solve for \( x \), we multiply both sides by 6: \[ x = 800 \times 6 = 4800 \]
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Now we can find how much Shilongo's wife received: \[ \text{Amount given to wife} = \frac{4800}{2} = 2400 \]
Therefore, Shilongo's wife received N$ 2400 from her husband.