To find the total number of cakes sold, we need to first calculate the total number of slices sold and then determine how many cakes that corresponds to since each cake is cut into 8 slices.
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Calculate the total number of slices from each type of cake sold:
- Chocolate cakes: \( 214 \times 8 = 1712 \) slices
- Red velvet cakes: \( 212 \times 8 = 1696 \) slices
- Carrot cakes: \( 34 \times 8 = 272 \) slices
- Sugar cream cakes: \( 312 \times 8 = 2496 \) slices
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Add the slices together: \[ 1712 + 1696 + 272 + 2496 = 4176 \text{ slices} \]
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Now, to find the total number of cakes, divide the total number of slices by the number of slices per cake: \[ \text{Total cakes} = \frac{4176 \text{ slices}}{8 \text{ slices/cake}} = 522 \text{ cakes} \]
Therefore, the total number of cakes sold is 522 cakes.
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