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# David has 3 creditcards: a Passport card, an EverywhereCard and an Ame

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Joined: 02 Nov 2016
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David has 3 creditcards: a Passport card, an EverywhereCard and an Ame  [#permalink]

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14 Feb 2019, 01:52
00:00

Difficulty:

25% (medium)

Question Stats:

87% (01:34) correct 13% (01:43) wrong based on 30 sessions

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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. _________________ Math Expert Joined: 02 Aug 2009 Posts: 8281 Re: David has 3 creditcards: a Passport card, an EverywhereCard and an Ame [#permalink] ### Show Tags 14 Feb 2019, 11:54 1 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.
So, P = 1350/3 = 450. But the distribution between 1350 is not known, It is possible E is 1000 and thus greatest or 300, and answer si nO.
Insuff

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.
So $$E=\frac{4P}{3}=\frac{4A}{5}$$
Clearly E>P but E<A, so answer is always NO
Sufficient

B
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Re: David has 3 creditcards: a Passport card, an EverywhereCard and an Ame  [#permalink]

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15 Feb 2019, 05:29
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.

given cards available
passport ; p , everywhere ; e and american ; a
need to determine whether e>a & p

#1
e+a=3p
e+a=1350
p = 450
so
value of e & a is not known in sufficient

#2
e=4p/3 and e= 4a/5

here we can conclude that e>p but e<a
so sufficient to conclude that the greatest balance is not on the Everywhere card
IMO B
Re: David has 3 creditcards: a Passport card, an EverywhereCard and an Ame   [#permalink] 15 Feb 2019, 05:29
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