a) If Tom received 60 cards and his ratio is 12, then each "part" of the ratio is 60/12 = 5 cards.
Therefore, Ben received 2 parts = 2 x 5 = 10 cards.
The fraction of the cards that Ben received is:
10 / (2+3+12) = 10/17
(b) Ben and Sam's ratio is 2:3, which means they received a total of 2+3 = 5 "parts" of cards.
Since each "part" is 5 cards (as we found earlier), Ben and Sam received a total of 5 x 5 = 25 cards.
The fraction of the cards that Ben and Sam received between them is:
25 / (2+3+12) = 25/17
(c) Sam's ratio is 3, which means he received 3 parts of cards.
Since each "part" is 5 cards, Sam received a total of 3 x 5 = 15 cards.
(d) Together, Ben, Sam, and Tom received:
2+3+12 = 17 "parts" of cards.
Since each "part" is 5 cards, they received a total of 17 x 5 = 85 cards.
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