Final answer:
Blake's coins have the greatest mass because even if all of his $5 were in quarters, which have a mass of 5.67 grams each, he would have more quarters and therefore a higher total mass compared to Chance's $2 in quarters.
Step-by-step explanation:
To determine whose coins have the greatest mass, we can leverage the known weight of a quarter. A standard U.S. quarter has a mass of approximately 5.67 grams. Since Chance has $2 in quarters, this means he has 8 quarters (since $2 is equal to 200 cents, and each quarter is 25 cents, so 200/25 = 8). Multiplying the number of quarters by the mass of each gives the total mass for Chance's coins: 8 quarters x 5.67 grams per quarter = 45.36 grams.
For Blake's $5 in coins, even if all of Blake's coins were quarters, the greatest number of quarters he could have without exceeding $5 would be 20 quarters (since $5 is equal to 500 cents). The maximum total mass for Blake's coins would then be 20 quarters x 5.67 grams per quarter = 113.4 grams.
We can conclude that Blake's coins have the greatest mass because 113.4 grams is greater than 45.36 grams. Therefore, the correct answer is:
b) Blake's coins have the greatest mass.