Question

In a chocolate factory, a machine takes a 1 kg block of chocolate. It then divides this into rectangles each weighing 10 g. These rectangles are then stamped into disks of chocolate each weighing 6 g with the remaining chocolate discarded. These chocolate disks are next packed into bags of 4 which are sealed and finally packed into boxes, each containing 6 bags ready for dispatch to the shops. What percentage weight of chocolate out of the original kilogram will be contained in COMPLETELY FILLED boxes (i.e. those containing a full 6 bags)? * 57.6%, which rounds to 58% 59.9%, which rounds to 60% 62% 64% 65.7%, which rounds to 66% 68%

Answer 1

Answer:

58%

Step-by-step explanation:

1000 g of chocolate is made into 100 rectangles of chocolate each weighting 10g.

These are then stamped into 100 disks of 6g each.

4 disks are packed into each bag and then 6 bags are placed into each box.

Therefore there are 24 disks in each box.

As there are 100 disks in total produced from the 1 Kg of chocolate, there will therefore be four boxes with 4 disks left over.

These 4 boxes contain 96 disks each weighing 6g.

So the total weight of chocolate in the boxes will be 96 x 6g = 576g.  

Converting to a percentage: 576/1000 X 100 = 57.6% which rounds to 58%