Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.1 Number Theory: Prime and Composite Numbers - Exercise Set 5.1: 94

Answer

We will have 72 cards in each stack.

Work Step by Step

A person has 360 football cards and 432 baseball cards. The person wants to make stacks of cards so that each stack has the same number and same type of card. To do this, we can find the Greatest Common Divisor (GCD) of 360 and 432. This is found by first prime factoring the two numbers and then multiplying the common factors by each other. Prime Factoring: 360 = 2 x 2 x 2 x 3 x 3 x 5 432 = 2 x 2 x 2 x 2 x 3 x 3 x 3 Common factors are: 2 x 2 x 2 x 3 x 3 = 72 This gives us groups of 72 cards each. (5 stacks of football cards and 6 stacks of baseball cards).
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