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24 Jan 2018, 21:21
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Hi All,
The math 'steps' behind this question can be done in a couple of different 'orders', depending on how you choose to think about the given information. Here's an approach that accounts for the difference in the price of the two types of tickets at the end of the calculation:
We're told that 30 tickets are sold every 5 minutes; there are 12 'groups' of 5 minutes in each hour, so...
(30)(12) = 360 tickets sold per hour (meaning from 9:00 to 9:55)
From 10:00 to 10:55, another 360 tickets are sold, etc. From 9:00am to 5:55pm, we have 9 hours worth of sales...
(9)(360) = 3240 total tickets
IF every ticket sold cost $10, then we'd have...
(3240)(10) = $32,400
HOWEVER, 1 out of every 4 tickets was actually a student ticket (which costs $6 instead of $10), so we have to subtract $4 for every student ticket in the total.
(3240 total tickets)(1/4) = 820 student tickets
(820 student tickets)($4) = $3280
Total revenue = $32,400 = $3280 = $29,160
Final Answer:
GMAT assassins aren't born, they're made,
Rich
The math 'steps' behind this question can be done in a couple of different 'orders', depending on how you choose to think about the given information. Here's an approach that accounts for the difference in the price of the two types of tickets at the end of the calculation:
We're told that 30 tickets are sold every 5 minutes; there are 12 'groups' of 5 minutes in each hour, so...
(30)(12) = 360 tickets sold per hour (meaning from 9:00 to 9:55)
From 10:00 to 10:55, another 360 tickets are sold, etc. From 9:00am to 5:55pm, we have 9 hours worth of sales...
(9)(360) = 3240 total tickets
IF every ticket sold cost $10, then we'd have...
(3240)(10) = $32,400
HOWEVER, 1 out of every 4 tickets was actually a student ticket (which costs $6 instead of $10), so we have to subtract $4 for every student ticket in the total.
(3240 total tickets)(1/4) = 820 student tickets
(820 student tickets)($4) = $3280
Total revenue = $32,400 = $3280 = $29,160
Final Answer:
GMAT assassins aren't born, they're made,
Rich
23 Jun 2021, 20:24
Kudos
Bookmarks
# of intervals = 108
Because regular tickets are 3x student tickets, the "weighted average price for each batch of people" = (3/4*10) + (1/4*6) = 9
There are 30 people each batch.
Hence, total sale= 108 * 9 * 30 = 29,160
Answer E.
Because regular tickets are 3x student tickets, the "weighted average price for each batch of people" = (3/4*10) + (1/4*6) = 9
There are 30 people each batch.
Hence, total sale= 108 * 9 * 30 = 29,160
Answer E.
28 Jun 2023, 04:58
Kudos
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Starting at noon, the phone has rung every 5 minutes.
The phrase in blue implies that the phone has rung at the following times:
12:00, 12:05, 12:10...
A museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive.
The phrase in blue implies that each hour an additional batch of 30 tickets is sold at the following times:
X:00, X:05, X:10, X:15, X:20, X:25, X:30, X:35, X:40, X:45, X:50, X:55
Since 30 tickets are sold at each of the 12 times listed above, the number of tickets sold each hour = 30*12 = 360
The price of a regular admission ticket was $10 and the price of a student ticket was $6.
3 times as many regular admission tickets were sold as student tickets.
For every $6 student ticket sold, three $10 regular tickets are sold.
Thus:
Average price for every 4 tickets sold \(= \frac{(1*6) + (3*10)}{4} = 9\) per ticket
What was the total revenue from ticket sales that day?
\(\frac{9-hours}{1} * \frac{360-tickets}{1-hour} * \frac{$9}{per-ticket} = 29160\)
The phrase in blue implies that the phone has rung at the following times:
12:00, 12:05, 12:10...
clarkkent0610
A museum sold admission tickets to a group of 30 people every 5 minutes from 9:00 in the morning to 5:55 in the afternoon, inclusive.
The phrase in blue implies that each hour an additional batch of 30 tickets is sold at the following times:
X:00, X:05, X:10, X:15, X:20, X:25, X:30, X:35, X:40, X:45, X:50, X:55
Since 30 tickets are sold at each of the 12 times listed above, the number of tickets sold each hour = 30*12 = 360
The price of a regular admission ticket was $10 and the price of a student ticket was $6.
3 times as many regular admission tickets were sold as student tickets.
For every $6 student ticket sold, three $10 regular tickets are sold.
Thus:
Average price for every 4 tickets sold \(= \frac{(1*6) + (3*10)}{4} = 9\) per ticket
What was the total revenue from ticket sales that day?
\(\frac{9-hours}{1} * \frac{360-tickets}{1-hour} * \frac{$9}{per-ticket} = 29160\)
