David has 3 credit cards: a Passport card, an EverywhereCard and an

Question

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.

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dhart · Answer

stmt 1 , gives sum of a and e , and value for p = 450 insuff, 
stmt 2, ratio of a ,e and p can be known so from the data , suff 
so , option b

HarishChaitanya · Answer

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...

odionam · Answer

statement one is sum of EC and AL card is given and which is 3 times the PC 
so from here we can calculate balance on PC card i.e 1350/3 = 450 but we can't calculate balance on EC card or compare it with AL card so ST1 is not sufficient 
From statement 2 direct relation is given b/e EC card and passport card and EC and AL so from here we can easily deduce balance ratio in among three so American card have greatest value clear answer for question is no. so St2 is sufficient

TheAdmissionHub · Answer

Let  A  be the American,  E  the Everywhere, and  P  the Passport.

Statement 1 
We know that  E+A=1350  and that  P=\frac{1350}{3} .
Since we don't know any relationship between E and A we cannot answer.

Not sufficient

Statement 2 
 E=\frac{4}{3}P 
 E=\frac{4}{5}A 
Since we know all the ratios, we can answer that E is not the card with the greatest balance.

Sufficient

Answer: B

Beowulf2nd · Answer

Statement B is sufficient.

Multiply all ratios in statement B to 15.
15E = 20P = 12A

Not required but:
The largest is American.
The middle is Everywhere.
The lowest is Passport.

David has 3 credit cards: a Passport card, an EverywhereCard and an

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­David has 3 credit cards: a Passport card, an EverywhereCard and an

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David has 3 credit cards: a Passport card, an EverywhereCard and an