Question 1209419
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5/6 of the mooncakes sold were lotus paste.<br>
let x = # of red bean mooncakes sold
then 5x = # of lotus mooncakes sold<br>
The total number of mooncakes sold is 6x; and half of the mooncakes were sold, so the total number of mooncakes in the bakery at the start was 12x.<br>
The ratio of lotus to red bean mooncakes in the bakery was 3:1, so the number of lotus mooncakes was 9x and the number of red bean mooncakes was 3x.<br>
The original number of red bean mooncakes was 3x, and the number of them sold was x, so the number remaining was 2x.  That number remaining was 24, so x is 12.<br>
ANSWER: The number of lotus mooncakes sold was 5x = 60<br>