Cy has 42 baseball cards and 70 football cards that he wants to group into packages. Each package will have the same number of cards and each package will have the same numbers of baseball cards and football cards. How many packages will Cy make if he uses all of the cards
14
What math program do you have at your school??
this is so fing easy
To find the number of packages Cy will make, we need to determine the greatest common divisor (GCD) of the number of baseball cards and the number of football cards.
Step 1: Find the GCD of 42 and 70.
To find the GCD, we can use the Euclidean algorithm. Divide the larger number (70) by the smaller number (42), and keep track of the remainder:
70 ÷ 42 = 1, remainder 28
Then divide the smaller number (42) by the remainder (28):
42 ÷ 28 = 1, remainder 14
Repeat this process until the remainder is 0:
28 ÷ 14 = 2, remainder 0
The GCD of 42 and 70 is 14.
Step 2: Determine the number of packages.
Since the GCD represents the largest common divisor of both the baseball and football cards, each package will have 14 baseball cards and 14 football cards.
To find the number of packages, divide the total number of cards by the number of cards per package:
(42 + 70) ÷ 14 = 112 ÷ 14 = 8
Therefore, Cy will make 8 packages in total.