Question

Tyrone and his friends like to collect and trade cards from a certain combat card game. Tyrone used his allowance to purchase 9 booster packs and 1 premade deck, which included a total of 119 cards. For his birthday, he received 9 booster packs and 2 premade decks, which included a total of 148 cards. How many cards come in every booster pack and every premade deck?

Answer 1

Tyrone purchased 9 booster packs and 1 premade deck, which included a total of 119 cards. For his birthday, he received 9 booster packs and 2 premade decks, which included a total of 148 cards. There are 10 cards in every booster pack and 29 cards in every premade deck.

Step-by-step explanation:

Let's assume that the number of cards in a booster pack is 'x' and the number of cards in a premade deck is 'y'.

According to the given information:

Tyrone purchased 9 booster packs + 1 premade deck = 119 cards

This can be represented as the equation: 9x + y = 119

On his birthday, Tyrone received 9 booster packs + 2 premade decks = 148 cards

This can be represented as the equation: 9x + 2y = 148

Now we have a system of equations:

9x + y = 119

9x + 2y = 148

To solve this system, we can multiply the first equation by 2 and subtract the second equation, which will eliminate the 'x' variable:

(2 * (9x + y)) - (9x + 2y) = (2 * 119) - 148

18x + 2y - 9x - 2y = 238 - 148

9x = 90

x = 10

Substituting the value of 'x' into the first equation, we can solve for 'y':

9(10) + y = 119

90 + y = 119

y = 29

Therefore, there are 10 cards in every booster pack and 29 cards in every premade deck.