To find out how many boxes of invoice forms can be bought for $234.00, we will break down the purchases according to the pricing structure.
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First 20 boxes: Each box costs $4.45. \[ \text{Cost for first 20 boxes} = 20 \times 4.45 = 89.00 \]
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Next 25 boxes: Each box costs $4.00. \[ \text{Cost for next 25 boxes} = 25 \times 4.00 = 100.00 \]
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Total cost for first 45 boxes (20 + 25): \[ \text{Total cost for first 45 boxes} = 89.00 + 100.00 = 189.00 \]
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Remaining amount after buying 45 boxes: \[ \text{Remaining amount} = 234.00 - 189.00 = 45.00 \]
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Additional boxes (after 45): Each box costs $3.75. To find out how many additional boxes can be bought with the remaining $45.00: \[ \text{Number of additional boxes} = \frac{45.00}{3.75} = 12 \]
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Total number of boxes: \[ \text{Total boxes} = 45 + 12 = 57 \]
Thus, the total number of boxes of invoice forms that can be purchased for $234.00 is 57.
Therefore, the answer is 57.