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Latonya works in a factory where she makes Crispy snacks. First, she uses a machine that forms large 100 lb blocks of Crispy. She cuts one block evenly into bars that each weigh 8 oz. These bars are then pressed into a mold that creates 2 flat square wafers that each weigh 3 oz. The leftover waste material is put into recycle bins to be used elsewhere. These flat squares are then packed into bags of 5, which are sealed and finally packed into boxes, each containing 15 bags ready to be sent out to the stores.

How much weight, as a percentage of the original 100 lb block, is contained in the completely filled boxes (i.e., those containing a full 15 bags)?

1 cup = 8 oz
1 pint = 16 oz
1 quart = 32 oz
1 lb = 16 oz
1 gal = 128 oz
1 kg = 1000 g
1 lb = 454 g

A. 59.5%
B. 60.5%
C. 70.3%
D. 75%
E. 75.5%

Answer :

Final answer:

From the initial 100lb block, 75% of its weight ends up in the completely filled boxes. This is because 25% of the initial weight is lost during the production process as waste.

Explanation:

To solve this problem, we need to track the weight of the Crispy snacks throughout the production process. The initial block of Crispy snack weighs 100lb or 1,600 oz (since 1lb=16oz). Each bar weighs 80 oz, and each bar is then pressed into two 30-oz wafers, meaning 20 oz of each bar is waste material. Thus, 25% of each bar ends up as waste, which leaves us with 75% of the 100lb block that continues through production.

These flat squares, each weighing 30 oz, are packed into bags containing 5 squares. So, each bag weighs 150 oz. These bags are then packed into boxes, each containing 15 bags. So, each box weighs 2,250 oz. However, not all of the original Crispy block weight ends up in these boxes. Some ends up as waste (25% of the original block). Hence, the percentage weight of the block that is in the boxes is 75%.

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