Answer :
Final answer:
The problem is solved by first calculating the total weight of the quarters and subtracting this from the total weight to find the weight of the dimes. Dividing this weight by the weight of a single dime, we find that there are 18 dimes.
Explanation:
This is a Mathematics problem that can be solved using simple algebra. To solve, let's set up an equation based on the information given. The weight of the quarters and dimes together equals 366.3 grams.
We know that 57 quarters each weighs 5.7 grams for a total weight of 57 * 5.7 = 324.9 grams. So, we subtract this from the total weight to find the weight of the dimes.
366.3 - 324.9 = 41.4 grams. So, the dimes combined weigh 41.4 grams.
Since each dime weighs around 2.3 grams, we can find the number of dimes by dividing the total weight of the dimes by the weight of a single dime: 41.4 / 2.3 = 18.
So, the bag contains 18 dimes.
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