Man Question

Assume that The gold card limit is L1.the platinum card limit is L2.
so the remaining on the gold card is 1/3 L1
the remaining on the platinum card is 1/5 L2
we've know that 1/2 L2=L1
so the equation is L2-(1/3L1+1/5L2)
solve the equation :L2-11/30L2
=19/30
im not quite sure.just my view

Kay_LAL wrote:Assume that The gold card limit is L1.the platinum card limit is L2.
so the remaining on the gold card is 1/3 L1
the remaining on the platinum card is 1/5 L2
we've know that 1/2 L2=L1
so the equation is L2-(1/3L1+1/5L2)[Note that this is the remaining amount, so when you subtract the remaining from the total, you will have the used amount]
solve the equation :L2-11/30L2
=19/30[ The used amount, so the remaining amount is 11/30]
im not quite sure.just my view

Let's represent the spending limit for the gold card by G; so the spending limit for the platinum card equals 2G.
Since 1/3 of G is added onto 1/5 of 2G, we shall have 11G/15.
To get the proportion of the remaining balance, divide 11G/15 by 2G. The result would be 11/30.

Hence, the answer is A

You can simply put all the figures in the percents and pick the answer that matches with those values!
1/3 of gold card limit is 1/2 the platinum card limit; that is 1/6 or 16.67 %
1/5 of platinum card limit is 20 %

Total= 20% + 16.67% = 36.67 %

The only nearest answer is 11/30.

Hence, Option 1.

YAMLAKSIRA wrote:

Kay_LAL wrote:Assume that The gold card limit is L1.the platinum card limit is L2.
so the remaining on the gold card is 1/3 L1
the remaining on the platinum card is 1/5 L2
we've know that 1/2 L2=L1
so the equation is L2-(1/3L1+1/5L2)[Note that this is the remaining amount, so when you subtract the remaining from the total, you will have the used amount]
solve the equation :L2-11/30L2
=19/30[ The used amount, so the remaining amount is 11/30]
im not quite sure.just my view

Let's represent the spending limit for the gold card by G; so the spending limit for the platinum card equals 2G.
Since 1/3 of G is added onto 1/5 of 2G, we shall have 11G/15.
To get the proportion of the remaining balance, divide 11G/15 by 2G. The result would be 11/30.

Hence, the answer is A

I tried filling in dollar amounts that had a common factor with all the fractions and tried from there. It's a strategy that I think is helpful.
I said the Gold Card has a limit of 1,500 dollars meaning the Platinum Card had a balance twice that making it 3,000.
If Sally has a balance of 1/3 on her Gold Card that means she has a 500 dollar balance. Subsequently, if Sally has a balance that is 1/5 on her Platinum card that means she has 600 dollars balance. If she transferred the 500 dollars over to the Platinum she would have 1,100 dollars balance (500+600) on her 3,000 Platinum Limit. 1100/3000 can only be simplified by 100s so its left as 11/30.

-ECM