Each friend gets [tex]\frac{x}{3}[/tex] cards
Solution:
Let the number of cards in $ 27 set be "x"
Given that Nicole has $9 to spend on cards
Amount with Nicole to spend on cards = $ 9
One set costs $27
Therefore, cost of 1 set = $ 27
Each friend gets the same number of cards
She finds friends with the same amount of money to split the cost of a set
Therefore, to get total cost of 1 set which is $ 27 , we can say
$ 9 + $ 9 + $ 9 = $ 27
So 2 friends pay each $ 9 and nicole pays $ 9
Now, Number of cards each friend gets is given by
[tex]\text{ number of cards } = \frac{\text{ total number of cards }}{\text{ 3 people}} = \frac{x}{3}[/tex]
Thus each friend gets [tex]\frac{x}{3}[/tex] cards
