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# A certain store sells two models of cellular phones, M1 and M2, and of

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
A certain store sells two models of cellular phones, M1 and M2, and of  [#permalink]

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05 Sep 2016, 08:19
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Difficulty:

55% (hard)

Question Stats:

62% (02:10) correct 38% (02:01) wrong based on 94 sessions

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A certain store sells two models of cellular phones, M1 and M2, and offers two telecommunication programs, P1 and P2. Every cellular phone is sold together with one of the two telecommunication programs. Yesterday, the store sold 8 pieces of the M2 model. In addition it sold 13 pieces of the M1 model together with the P1 program. How many cellular phones (of both brands) did the store sell yesterday?

(1) Yesterday, the store sold 20 pieces of the M1 model.

(2) A quarter of the cellular phones sold yesterday were M1 models sold together with the P2 program.

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Re: A certain store sells two models of cellular phones, M1 and M2, and of  [#permalink]

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08 Feb 2018, 22:31
Bunuel wrote:
A certain store sells two models of cellular phones, M1 and M2, and offers two telecommunication programs, P1 and P2. Every cellular phone is sold together with one of the two telecommunication programs. Yesterday, the store sold 8 pieces of the M2 model. In addition it sold 13 pieces of the M1 model together with the P1 program. How many cellular phones (of both brands) did the store sell yesterday?

(1) Yesterday, the store sold 20 pieces of the M1 model.

(2) A quarter of the cellular phones sold yesterday were M1 models sold together with the P2 program.

So basically there are 4 kinds of phones sold yesterday: M1P1, M1P2, M2P1, M2P2. We have to find sum of all four of these.
We are given that M2P1 + M2P2 = 8 (total phones of M2 model sold).
We are also given that M1P1 = 13. We just need to find the value of M1P2, in order to find our answer.

Statement 1

Total M1 phones are given (this includes M1P1 as well as M1P2), and total of M2 were already given. So we can calculate the total easily. Sufficient.

Statement 2

Let number of M1P2 phones sold = x, then we are given that Total = 4x. So:
13 + x + 8 = 4x. Solving this we get x = 7. Thus total number of phones sold can be found. Sufficient.

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Re: A certain store sells two models of cellular phones, M1 and M2, and of  [#permalink]

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12 Apr 2019, 10:10
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Re: A certain store sells two models of cellular phones, M1 and M2, and of   [#permalink] 12 Apr 2019, 10:10
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# A certain store sells two models of cellular phones, M1 and M2, and of

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