Question

A deck of cards was dealt out equally to 7 people with 2 remaining cards. How many cards were in the deck originally? Let c represent the total number of cards.

Answer 1

To determine the number of cards in the original deck, set up an equation using the number of cards dealt to each person. Solve for the total number of cards.

Step-by-step explanation:

To determine the number of cards that were in the deck originally, we can set up an equation using the information given:

c = 7n + 2

Where c represents the total number of cards and n represents the number of cards dealt to each person. Since the number of cards in a deck is a multiple of 52, we can substitute that value for c:

52 = 7n + 2

Subtracting 2 from both sides, we get:

50 = 7n

Dividing both sides by 7, we find that n = 7.

Therefore, there were originally 7 cards in the deck.