Let A be the number of cards Alan has
B be the number of cards Bill has
C be the number of cards Calvin has
Alan had 11 less than 2 1/2 times the number of cards bill has.
is 2.5
Alan is 2.5 of bill has minus 11
A=2.5B -11
Calvin has 1 more than 1 1/2 times the number of cards bill has.
is 1.5
Calvin is 1.5 of bill has plus 1
C=1.5B + 1
Alan and Calvin have the same number of cards
So A=C
WE plug in A and C equations and solve for B
2.5B -11 = 1.5B + 1 (subtract 1.5B on both sides)
1B -11 = 1 (Add 11 on both sides)
B = 12
If Alan and Calvin have the same number of cards, the number bill has is 12
The number of cards Alan and Calvin each have is 19
Total cards = 12 + 19 + 19 = 50
If Alan, bill, and Calvin have all the cards in the deck then the deck has 50 cards
