The formula 55p + 55 = C takes the number of people who participate in a collective card game and determines the number of cards necessary to play the game. (There is a base number of cards needed no matter how many people play 55.)  You only have 603 cards. How many people can you invite to play (assuming they don't have their own cards)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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1. The formula 55p + 55 = C takes the number of people who participate in a collective card game and determines the number of cards necessary to play the game. (There is a base number of cards needed no matter how many people play 55.) 

You only have 603 cards. How many people can you invite to play (assuming they don't have their own cards)? 

2.

A different version of the card game has different requirements. 

The formula 40p + 46 = C takes the number of people who participate in a collective card game and determines the number of cards necessary to play the game. (There is a base number of cards needed no matter how many people play 46.) 

You only have 214 cards. How many people can you invite to play (assuming they don't have their own cards)? 

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