To find the total cost of the business when two men share it in the ratio 2:3, and the smaller share is 750.00, we can follow these steps:
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Let the two shares be represented as \(2x\) and \(3x\), where \(x\) is a common factor.
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Given that the smaller share (which corresponds to the ratio of 2) is 750.00, we can set up the equation: \[ 2x = 750.00 \]
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To solve for \(x\), divide both sides by 2: \[ x = \frac{750.00}{2} = 375.00 \]
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Now we can find the larger share (which corresponds to the ratio of 3): \[ 3x = 3 \times 375.00 = 1125.00 \]
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Finally, to find the total cost of the business, we add the two shares together: \[ \text{Total cost} = 2x + 3x = 5x = 5 \times 375.00 = 1875.00 \]
Thus, the total cost of the business is 1875.00.