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Data Sufficiency (DS) | Re: Four friends go to Macys for shopping and buy a top each. Three of th

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Bunuel wrote:

Four friends go to Macy’s for shopping and buy a top each. Three of them buy a pillow case each too. The prices of the seven items were all different integers, and every top cost more than every pillow case. What was the price, in dollars, of the most expensive pillow case if the total price of the seven items was $89?

(1) The most expensive top cost $16.

(2) The least expensive pillow case cost$9.


Kudos for a correctsolution.


I would say let me place them in decreasing order of cost from most expensive to leats expensive: __ __ __ ____ __ __
I need the value of the highlighted blank.

(1) The most expensive top cost $16.

So let me write the possible cases:
16, 15, 14, 13, 12, 11, 10
But this sums up to 91 ( = 13 * 7)
So I need to reduce the sum by 2. I can do it in only two ways - reduce the last price by 2 or reduce last two prices by 1 each:
16, 15, 14, 13, 12, 11, 8
or
16, 15, 14, 13, 12, 10, 9
If I try to reduce any other price by 1, I will need to reduce all the
...

Statistics : Posted by KarishmaB • on 15 Apr 2015, 04:55 • Replies 21 • Views 8071



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