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A cinema studio has 3 screens: A, B and C. Each of these 3 screens run

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A cinema studio has 3 screens: A, B and C. Each of these 3 screens run  [#permalink]

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28 Nov 2018, 01:51
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Difficulty:

45% (medium)

Question Stats:

83% (02:24) correct 17% (02:12) wrong based on 27 sessions

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A cinema studio has 3 screens: A, B and C. Each of these 3 screens run a fixed number of shows per day, though the number of shows of screen A/B/C may be different from each other. Each screen runs shows all week, without any off day. Screen A runs exactly 4 shows per day. Are the combined number of shows of all 3 screens more than 84 per week?

(1) Average number of shows per day per screen for screens B and C is 3.5.

(2) For any 4 consecutive days, total number of shows for screens A, B and C combined is 44.
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Re: A cinema studio has 3 screens: A, B and C. Each of these 3 screens run  [#permalink]

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28 Nov 2018, 02:01
amanvermagmat wrote:
A cinema studio has 3 screens: A, B and C. Each of these 3 screens run a fixed number of shows per day, though the number of shows of screen A/B/C may be different from each other. Each screen runs shows all week, without any off day. Screen A runs exactly 4 shows per day. Are the combined number of shows of all 3 screens more than 84 per week?

(1) Average number of shows per day per screen for screens B and C is 3.5.

(2) For any 4 consecutive days, total number of shows for screens A, B and C combined is 44.

We'll first break our wordy question down into small 'equations' so it is easier to see what we need to do.
This is a Precise approach.

screen A with x shows per day, B with y and C with z
x = 4
is 7(x+y+z)>84?

so we need to know if x+y+z > 12 and since x =4 we need to know if y+z>8.
With this in hand, we'll look to our statements.

(1) This lets us calculate y+z exactly and is therefore sufficient.
Sufficient.

(2) This gives us 4(x+y+z) meaning that we can divide by 4 and multiply by 7 to get 7(x+y+z) directly.
Also sufficient.

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Re: A cinema studio has 3 screens: A, B and C. Each of these 3 screens run  [#permalink]

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28 Nov 2018, 10:58
+1 for D as both 1 and 2 independently can lead to the answer
Re: A cinema studio has 3 screens: A, B and C. Each of these 3 screens run   [#permalink] 28 Nov 2018, 10:58
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