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A slot machine in a Las Vegas casino has an average profit of $600 for

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A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 26 Feb 2011, 09:45
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A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?
a - 4500
b - 9000
c - 13,500
d - 15,500
e - 27,000
[Reveal] Spoiler: OA
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 26 Feb 2011, 09:56
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Correct answer is C - 13500.

Total profit per weekday = $600 X 3 (shifts)= $1800
Total profit per week (apart from Saturday & Sunday) = $1800 X 5 = $9000

Total profit per shift on weekends = $600 X 125/100 = $750

Total profit on weekends = $750 X 3 (shifts) X 2 (Saturday, Sunday) = $4500.

Hence the answer is - $4500 + $9000 = $13,500. (C)
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 26 Feb 2011, 10:25
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 27 Feb 2011, 21:36
The answer is C:

Total profit = 600 * 5 * 3 + 1.25 * 600 * 3 * 2

= 600 * 3 (5 + 2.5)

= 600 * 3 * 75/10

= 225 * 60 = 13500
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 23 Nov 2016, 07:20
Madelaine88 wrote:
A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?
a - 4500
b - 9000
c - 13,500
d - 15,500
e - 27,000


quite an easy one for the 700 level...
profit made during Sun-Thursday = 600 * 3 (3 shifts/24h divided by 8h shift) = 1,800$/day makes a slot machine
during Fri-Sat -> machine makes 5/4 * (1,800$) = 2,250$.
total what machine does:
1,800*5 + 2,250*2 = 13,500$

answer is C.
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 25 Aug 2017, 05:27
Total profit per weekday = $600 X 3 (shifts)= $1800 (8 hours each)

Total profit per week (apart from Saturday & Sunday) = $1800 X 5 = $9000

Total profit per shift on weekends = $600 X 125/100 = $750

Total profit on weekends = $750 X 3 X 2 = $4500.

Hence the answer is $4500 + $9000 = $13,500. (C)
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A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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Madelaine88 wrote:
A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?
a - 4500
b - 9000
c - 13,500
d - 15,500
e - 27,000

The wrinkle in this question: profit is given in shifts of 8 hours, but the question asks for total profit where the machines operate 24 hours a day.

Total weekly profit will be:

1) per-shift profit * 3 (to get 24 hours) * 5 (days) for Sunday to Thursday, plus

2) per-shift profit * 3 * 2(days) for Friday and Saturday

Every solution posted uses #s 1 and 2. Every solution is a condensed version of the explanation below, which I'm posting because the stats seem unusually skewed for this question.

1. Sunday through Thursday: From Sun to Thurs, the average profit for an 8-hour shift is $600.

But to calculate total profit of machines working all day, every day, we need total profit for each day of 24 hours:

\(\frac{$600}{8hrs}\) = \(\frac{$x}{24hrs}\) -->

8 is multiplied by 3 to get 24. Multiply 600 by 3 to get the numerator x

x = $1,800 per day for the five days Sunday through Thursday

Su - Th total profit = $1,800 * 5 = $9,000

2. Friday and Saturday: average
per-shift profit is 25 percent greater than on the other days

1.25 * $600 = $750 per 8-hour shift

\(\frac{$750}{8hrs}\) = \(\frac{$x}{24hrs}\) --> ($ 750 * 3 to get x)

x = $2,250 per day * 2 days =

$4,500 total for Fri and Sat

Total weekly profit is $9,000 + $4,500 = $13,500

Answer C
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for [#permalink]

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New post 29 Aug 2017, 16:19
Madelaine88 wrote:
A slot machine in a Las Vegas casino has an average profit of $600 for each 8-hour shift for the five days Sunday through Thursday, inclusive. If the average per-shift profit on Friday and Saturday is 25% greater than on the other days of the week and the slot machine is in operation every hour of every day, what is the total weekly profit that the casino makes from the slot machine?
a - 4500
b - 9000
c - 13,500
d - 15,500
e - 27,000


Since 1 day = 24 hours, each day has three 8-hour shifts. Therefore, the casino makes a total of:

600 x 5 x 3 + 1.25(600) x 2 x 3

600 x 15 + 750 x 6

9000 + 4500 = 13500

Answer: C
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Re: A slot machine in a Las Vegas casino has an average profit of $600 for   [#permalink] 29 Aug 2017, 16:19
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