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# At a used item shop, all caps were priced equally and all sunglasses

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Math Expert
Joined: 02 Sep 2009
Posts: 58396
At a used item shop, all caps were priced equally and all sunglasses  [#permalink]

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29 Oct 2018, 04:53
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:51) correct 16% (01:01) wrong based on 33 sessions

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At a used item shop, all caps were priced equally and all sunglasses were priced equally. What was the price of 4 caps and 5 sunglasses at the sale?

(1) The price of a cap was \$2.00 more than the price of a sunglasses.
(2) The price of 8 caps and 10 sunglasses was \$45.

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examPAL Representative
Joined: 07 Dec 2017
Posts: 1153
Re: At a used item shop, all caps were priced equally and all sunglasses  [#permalink]

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29 Oct 2018, 05:13
Bunuel wrote:
At a used item shop, all caps were priced equally and all sunglasses were priced equally. What was the price of 4 caps and 5 sunglasses at the sale?

(1) The price of a cap was \$2.00 more than the price of a sunglasses.
(2) The price of 8 caps and 10 sunglasses was \$45.

As the caps and sunglasses are priced equally, we need to find the price of 9 items.
We'll look for statements that give us this information, a Logical approach.

(1) this doesn't give absolute numbers.
Insufficient.

(2) This gives the price of 18 items, which we can use to calculate the price of 9.
Sufficient.

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Intern
Joined: 08 Jul 2017
Posts: 43
GMAT 1: 740 Q51 V38
Re: At a used item shop, all caps were priced equally and all sunglasses  [#permalink]

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02 Nov 2018, 00:27
At a used item shop, all caps were priced equally and all sunglasses were priced equally. What was the price of 4 caps and 5 sunglasses at the sale?

(1) The price of a cap was \$2.00 more than the price of a sunglasses.
(2) The price of 8 caps and 10 sunglasses was \$45.

4c + 5s is needed.

1. c = s + 2. Insufficient.

2. 8c + 10s = 45
So, 4c + 5s will be half of 45.
Sufficient.

B.
Re: At a used item shop, all caps were priced equally and all sunglasses   [#permalink] 02 Nov 2018, 00:27
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