Question

Trent wants to buy 2 packs of trading cards for $3 each. The trading card packs that Trent usually buys tend to come in packs of 6, 10, 12, and 15. After selecting 2 packs, Trent found that the first pack of cards cost 25 cents per card, and the second pack cost 30 cents per card. Trent uses the information to write the equations below in order to compare c, the number of cards in each pack.

Answer 1

Let c be the number of cards in a pack.

First pack (25¢ per card):
3 = 0.25c → c = 3 / 0.25 = 12.

Second pack (30¢ per card):
3 = 0.30c → c = 3 / 0.30 = 10.

So the first pack has 12 cards and the second has 10 cards (12 > 10), which are among the available sizes.