QUESTION
If 1.5 kg ice cream powder (ICP) premix is added to 3.5 l water and a cone is 150 ml, how many ice cream cones can I fill with a 25 kg bag.
ANSWER
To determine how may ice cream cones you can fill from a 25 kg bag of ICP premix, we first need to establish how many ice cream premix is used per cone.
1. Ice Cream Powder Premix Calculation
* 1.5 kg of ICP premix is added to 3.5 kg liters of water. This mixture will yield a certain volume of ice cream.
* For the sake of making calculations easier, let's assume that the volume of ice cream produced will be around the same as the sum of the volume of water and the ICP premix (this is an approximation, as the final volume can vary based on the mixture).
2. Total Mixture Volume
* Volume of ice cream mix = Volume of water + Volume of ICP premix (still a rough estimate).
* Since the density of the mix is roughly similar to water, we can consider that 1.5 kg ICP would have a volume close to 1500 ml (or 1.5 L)
* THUS: Total Volume of Ice Cream = 3.5 L + 1.5 L = 5 L
3. Ice Cream Cone Volume
* Each ice cream cone has a capacity of 150 ml.
4. Number of Cones from a 5 L Batch
* Convert the total volume to ml: 5 L = 5000 ml.
* Number of cones filled from 5 L
= Total Volume ÷ Volume per Cone
= 5000 ml ÷ 150ml
= ± 33.33 cones
* Since each batch can fill about 33 cones, we need to establish how many batches can be made from a 25 kg bag.
5. Batches from 25 kg
* Each batch uses 1.5 kg of ICP.
* Number of batches from a 25 kg bag
= Total Weight ÷ Weight per Batch
= 25 kg ÷ 1.5 kg
= ± 16.67 batches.
6. Total Ice Cream Cones Filled
* Total number of cones:
= Number of baches x Number of cones per batch
= 16.67 batches x 33 cones/batch
= 550 cones
From a 25 kg bag of ICP premix, you can fill ± 550 ice cream cones, based on the calculations we performed.
It's IMPORTANT to remember - these are approximate volumes (worse case scenario). The overrun of the ice cream machine (needed to 'freeze' the mixture) is not taken into account, therefore it may even be double.
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