statement 1:Everywhere card + American Local card = $1350 = 3 X ( Passport card)
Everywhere card = 3 X (Passport card) - American Local card
as balances about these is unknown, it is not possible to determine if Everywhere card is owing highest due
statement 2:let us consider,
passport card balance = a,
American local card balance = b,
Everywhere card = c.
it is given
c= 4/3(a) = 4/5(b)
we get b= 5/3(a)
therefore we have all the balances in one variable a i.e,
passport =a < everywhere = 4/3(a) < american local = 5/3(a)
therefore everywhere is not greatest due balance. this can be concluded from statement 2.
hence ans is b - statement 2 alone is sufficient...
Bunuel
David has 3 credit cards: a Passport card, an EverywhereCard and an American local card. He owes balance on all three cards. Does he owe the greatest balance on the Everywhere card?
(1) The sum of the balances on his EverywhereCard and American Local card is $1350, which is three times the balance on his passport card.
(2) The balance on his EverywhereCard is 4/3 of the balance on his Passport card and 4/5 of the balance on his American Local card.