Its 12 because 4 times 12 is 48 if you add 7 to 48 you get 55
Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.

She used 100 ml of pineapple juice.
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The total number of produced details increased by 6.4%
suppose the starting number was x.
suppose x=100
100 +12%= 112
112-5%=106.4
106.4-100=6.4
6.4%