To find the total number of cakes sold, we can add up the fractions representing each type of cake sold.
- Chocolate cakes: \( 2 \frac{1}{4} = \frac{9}{4} \)
- Red velvet cakes: \( 2 \frac{1}{2} = \frac{5}{2} = \frac{10}{4} \)
- Carrot cake: \( \frac{3}{4} \)
- Sugar cream cakes: \( 3 \frac{1}{2} = \frac{7}{2} = \frac{14}{4} \)
Now, we can add these fractions together:
\[ \frac{9}{4} + \frac{10}{4} + \frac{3}{4} + \frac{14}{4} \]
Combine the numerators:
\[ \frac{9 + 10 + 3 + 14}{4} = \frac{36}{4} = 9 \]
So, the total number of cakes sold is 9 cakes.
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