Respuesta :
If Cy uses all the cards, then there will be 3 baseball cards and 5 football cards in each pack, that is - assuming that each pack needs to have each type of card within it. Overall then, there will be 14 different packages built from his overall collection of cards.
Cy has 42 baseball cards and 70 football cards
he wants to group them into packages with each package having the same number of cards of both types
so we have to find the highest common factor for 42 and 70 so they can be divided into packages equally and each package having an equal number of cards
the factors for 42 and 70 are as follows
42 - 1,2,3,6,7,14,21,42
70 - 1,2,5,7,10,14,35,70
the highest factor common for both is 14
therefore Cy can make 14 packages
each package will have
42/14 = 3 baseball cards
70/14 = 5 football cards
so each package will have 3 baseball cards and 5 football cards
Cy can make 14 packages