The Packing of IVIath

Algebra Level pending

Oliver and his friends like to collect and trade cards from a certain combat card game. Oliver used his allowance to purchase 1 booster pack and 3 pre-made decks, which included a total of 143 cards. For his birthday, he received 8 booster packs and 3 pre-made decks, which included a total of 220 cards. How many cards come in every booster pack and every pre-made deck?

If each booster pack has $$a$$ cards and each pre-made deck has $$b$$ cards, then what is $$(a,b)$$?

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