Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
11/30
29/60
17/30
19/30
11/15
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I solved it like this :
Limit on Gold card = x
Limit on Platinum card = 2x
Balance on gold card = x/3
balance on platinum card = 2x/5
after transfer = (2x/3)+x/3= 11x/15,
so answer should be E instead of D ( as mentioned on website).
Please calrify.