Question

A deck of standard playing cards holds 52 unique cards.

36 of these cards are numbered cards (numbered 2-9), 4
of these cards are aces, and 12 of these cards are face
cards (jack, queen, and king). If you play a card game and
draw half of the face cards, one ace, and one fourth of the
numbered cards, how many cards do you have? How
many of each card type of card do you have? Cite
evidence from the problem.

Answer 1

Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.

Explanation:

According to the issue:

The deck contains 52 distinct cards.

There are 36 numbered cards ranging from 2 to 9.

There are four aces in the deck.

There are 12 face cards (including the jack, queen, and king).

If you draw half of the face cards, one ace, and one-fourth of the numbered cards, you will get the following:

Face cards in half: 1/2 * 12 = 6 face cards

1 ace: 1 ace

One-fourth of a deck of numbered cards: 1/4 * 36 = 9 decks of numbered cards

When you add these up, you get a total of 6 + 1 + 9 = 16 cards.

Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.