How Many Quarters are in the Cloth Bag?

How many quarters are in the cloth bag?

Based on the given data, how can we calculate the number of quarters that are in the cloth bag?

Answer:

Approximately 102,500 quarters are in the cloth bag.

To determine the number of quarters in the cloth bag, we need to consider the total weight of the quarters and the bag, along with the weight of the bag alone and the weight of a known collection of 11 quarters.

The total weight of the quarters and the bag is 58.36 kilograms. Since the cloth bag alone weighs 300 grams (0.3 kilograms), the total weight of the quarters can be calculated as 58.36 kg - 0.3 kg = 58.06 kg.

Considering that 11 quarters weigh 62.37 grams (0.06237 kilograms), we can find the number of quarters by dividing the total weight of the quarters by the weight of 11 quarters. This gives us 58.06 kg / 0.06237 kg for every 11 quarters. By multiplying this by 11, we find that there are approximately 102,500 quarters in the cloth bag.